I had a similar thought about “A is B” vs “B is A”, but “A is the B” should reverse to “The B is A” and vice versa when the context is held constant and nothing changes the fact, because “is” implies that it’s the present condition and “the” implies uniqueness. However, it might be trained on old and no longer correct writing or that includes quotes about past states of affairs. Some context might still be missing, too, e.g. for “A is the president”, president of what? It would still be a correct inference to say “The president is A” in the same context, at least, and some others, but not all.
Also, the present condition can change quickly, e.g. “The time is 5:21:31 pm EST” and “5:21:31 pm EST is the time” quickly become false, but I think these are rare exceptions in our use of language.
Hmm, if A is simulating B with B’s source code, couldn’t the simulated B find out it’s being simulated and lie about its decisions or hide what its actual preferences? Or would its actual preferences be derivable from its weights or code directly without simulation?