I looked at your pdf. It starts with the assumption that the food contains more G than the eater. I am considering food that has more U than my theoretical replicator, but not G.
I have not seen a disproof of Bennett's infinite-memory demon, which supposedly works. I do not see why an ever-increasing number of copies that utilize dU instead of dG, never taking the return path on a Carnot cycle, is not equivalent to this demon. (no net Landauer erasure).
It would have to bring in extra matter all the time to hold the U it extracted from the food as a copy of itself. I can't calculate entropy well enough to know if this universal decrease in entropy. But it does flatten out U potentials. I do not see why heat must be generated. I do not see why the past must be erased. These occur only by assuming G is used up.