The law review article you posted is proposing a different way of approaching double jeopardy; it acknowledges that current legal practice mostly allows successive prosecutions from different sovereigns.
Human rights and humanitarian law instruments
guarantee a right against double jeopardy, but only from successive
prosecutions by a single state.8
Extradition treaties guarantee protection
from successive prosecutions between states, but only in certain
circumstances.9
State practice is literally all over the map, with some states
providing near absolute double jeopardy protection based on a foreign
prosecution, and others none at all.10 At the same time, a clear and uniform
international trend appears to be taking hold that would preclude
prosecutions based on universal jurisdiction if the defendant has been (or
in many cases will be) prosecuted by a state where the crime took place or
whose nationals were directly involved.11 Added to the mix are the statutes
of international criminal tribunals, which protect against successive
prosecutions as between states and tribunals in some cases but not in
others.12 Perhaps because of this doctrinal disarray, commentary has
tended to concentrate on discrete double jeopardy issues,13 with no work
tackling head-on the larger question of whether this apparently discordant
body of law and practice might be explicable through a unifying,
explanatory theory.14
As to the ACHR, I'm unsure if, in practice, the treaty is read to preclude successive prosecution by different sovereigns (bear in mind that most human rights treaties don't really create significant enforcement mechanisms). Even if it is read that way, the United States is not a party to the treaty.
Look, maybe international law norms should change here, but international law as it stands allow for successive prosecutions by different sovereigns in most cases.
(There's actually a better argument that the United States' internal separate sovereign doctrine violates international double jeopardy norms, in that states are not international sovereigns).
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