I'm supper busy right now so I don't really have time to give what you posted a good read so I'm only going to give a superficial reply, apologies.
Rather, the presuoppositions presume the rationality of capitalist economy in a way that reality is at fault instead of the ideal.
The marginal theory of value does include presuppositions, we can debate rather or not those suppositions presume capitalist rationality is the best or whatever else but I'd make a different point as my main reply.
The point of mathematical modeling is to in a logical form take hypothesis and all their suppositions and extend them to conclusions that must be true if those suppositions are true. So the assumptions and necessary conclusions of Marginal theory of value or the labor theory of value can be tested against reality.
The marginal theory of value can be disproven in the real material world.
Insofar as the marginal theory of value and the labor theory of value cannot be tested because they cannot make testable conclusions they are philosophical problems and should be outside the discipline of economics as it is currently practiced in economic departments.
I'm not going to argue that the marginal theory of value in particular or any other hypothesis coming out of modern economic departments doesn't have presuppositions from withing the mindset of people who grew up and never really question the capitalist framework. That is after all how most people are and we shouldn't really expect professional economists to be particularly unlike normal humans.
I would posit that potentially we are looking at a thomas Kuhn type problem where we are describing things as they are and making hypothesis withing a capitalist ideological framework and are waiting for a fundamental paradigm shift in how we think about economics. We had such a revolutionary shift when Evolution was first fully posited and many of the problems that we tried and failed to explain within the framework of an ideological environment pointed towards a fundamentally different paradigm posited by religious doctrine. Indeed it helped destroy that false ideology.
The point I'm getting at is that economists certainly are trapped within the context of the society in which they exist, it's a human endevour after-all, but biologists are trapped by their context too and were able to eventually transcend that boundary because they were looking at the world in a way that would force them to reject false ideological presuppositions. Economics has started to apply mathematical tests to their own presuppositions, this can only be regarded as a more positive development in the search for truth.
The way in which the economy is abstracted is done in a way that as already mentioned, simply obscures many things, it increasingly restricts itself, suddenly economy is a neutral area of study distinct from society where values are to be implemented. As if the economy was as enduring as the laws of nature it self.
We can only understand things by abstracting them. The economy itself is an abstraction of the system of interactions between people. It is difficult if not impossible to understand the economy or society by trying to look at the whole thing at once in the same way it was impossible to discover the overall system of evolution without understanding many particular things. Science after all is inductive, we go from the specific to the general.
You can accuse an economist like amartya sen of failing to question capitalist ideology or capture the holism of society in his work on social choice and welfare but by understanding these specific things we can come to a better understanding of the economy as a whole, and thus of society as a whole. (I would point out that there is a very important amount of crossover work between sociology and economics as well so I don't see the criticism that economics ignores the implications of economy with society and values as entirely valid.)
It is not, in my mind, a bad thing in and of itself that economists seek to understand specific things.
Issues with the way it abstracts is for example the illusion of barter.
In the real world, money mediates exchange and money is a commodity whose value is based in relation to all other commodities. But not so in the bartering illusion where apparently we directly trade known objects and money is nothing else but apparently something to stream things along more easily.
But this is apparently prominent in marginalist economics
p. 151
I don't want to get too caught up in arguments about any specific modern theory in economics. My point would be that wherever there is a real world implication to a theory then it should be tested. Where it isn't testable because of limitations in our ability to test it we should be cautious in accepting it. Where it cannot be tested because it is untestable we should reject it as unknowable or at least the realm of philosophy.
I think I'd make a point here and attempt to draw a line in the argument between philosophy of the economy and economics as it's currently practiced. It would simplify the argument to draw a hard line between the part of economics that is untestable by mathematical means or by looking out at specific cases in the economy today and philosophical worries like whether or not the marginal theory or labor theory is true in a philosophical sense. That isn't to say it isn't an important question. There is a limit to what we can know with what knowledge and tools we have at hand and we will always be more restrained when using empirical methods.
Ultimately, my distaste here is the sense in which when I read your posts, it felt as if in the vein of economics as neutral scientific study
I actually wouldn't say it's neutral. Scientific study in general isn't and cannot be neutral because it is done by human beings and we exist in a particular context with particular biases. The institutions of science shape it, it has it's own institutions and institutional culture, etc. Those institutions are deliberately shaped in many ways to try and fight against those human biases but they exist. It's only through a shared commitment to the values that make science work that are drilled into anyone taking science courses that push those values and vigilance and criticism from outside and in of these institutions are necessary to make them continue to function.
My point on this is that science, academics, and economics in particular are all shaped by stuff and can never be truly neutral. We just have to hold it to a particular set of values and standards.
On that vein I would argue that people like you or sivad who criticize the discipline help the discipline in the long run. It forces them to defend themselves from stinging criticisms that they may not be upholding those values they profess and forces them to evaluate their work in that context.
But at this point we are running far deeper into the philosophy of science that I'm super comfortable with since I'm not super well read on the topic.
The bias of economics is the illegitimate abstractions which largely do not correspond to capitalism as it. AS such, no amount of time will necessarily improve the field when the issue lays in it's foundation.
By this argument biology would be a sterile endeavor because it was entirely descriptive and was founded in perfect creation. The power of the institutions of science and academia is it's ability to challenge it's own presuppositions and founding ideology. We advance, and it's messy and difficult and biased and human but this assertion that it's foundation is flawed and we can't progress is not only wrong but would seem to fly in the face of the actual historical development of science.
Perhaps one might assert that some of these criticisms no longer apply but it's not apparent to me that this is the case. It seems that such concerns remain relevant and considered relatively recently, except of course by the field itself which will continue to plod along and hopefully strike it rich within it's confined area of study.
It's not that these criticisms don't apply, they may in fact exist for forever in some form or another. I would only posit that a self reflective study using the foundations of scientific institutions so long as the values and integrity of those institutions are defended can transcend their ideological foundations. We cannot treat a particular human endeavor as not being able to grow past it's ideological roots and into a new one and then claim that the entirety of society can do so.
My dream is a hemispheric common market, with open trade and open borders.