I agree. Even if not precisely defined, isomorphic usually refers to things that are (possibly) different, but "look the same" under a particular lens (for exam

I agree. Even if not precisely defined, isomorphic usually refers to things that are (possibly) different, but "look the same" under a particular lens (for example, a set of operations). OTOH, this is talking about the same thing running in two different contexts. More appropriate terms might be uniform, homogeneous, ...