That’s basically correct; the main immediate gain is that it makes it much easier to compute abstractions and compute using abstractions.
One additional piece is that it hints towards a probably-more-fundamental derivation of the theorems in which maximum entropy plays a more central role. The maximum entropy Telephone Theorem already does that, but the resampling + gKPD approach routes awkwardly through gKPD instead; there’s probably a nice way to do it directly via constrained maximization of entropy. That, in turn, would probably yield stronger and simpler theorems.
That’s basically correct; the main immediate gain is that it makes it much easier to compute abstractions and compute using abstractions.
One additional piece is that it hints towards a probably-more-fundamental derivation of the theorems in which maximum entropy plays a more central role. The maximum entropy Telephone Theorem already does that, but the resampling + gKPD approach routes awkwardly through gKPD instead; there’s probably a nice way to do it directly via constrained maximization of entropy. That, in turn, would probably yield stronger and simpler theorems.