This is all really just a philosophical question as to how you choose to use the word. It's the same as people who get in a twist over every game with procedural generation and permadeath being called a "Roguelike" even though that particular subgenre used to be more specific to turn-based RPGs with procedural generation, permadeath and total loss of all progress between runs.
People who came into using the term earlier tend to think of it more narrowly, but colloquial use of the term has drifted to mean something more generic, e.g. "emulation" used to mean "making one piece of hardware pretend to be another", but now can sometimes just mean, "when one thing acts like another at all".
In this case, however, the term "to emulate" predates microprocessors, so it clearly can't have ever referred exclusively to ISA translation!
"Emulator" might be a more recent term—it would be interesting to see the etymology, actually—but it's reasonable to conclude that anything which "emulates" must be an "emulator". (Also, OP didn't actually use the word "emulator".)
This is all really just a philosophical question as to how you choose to use the word. It's the same as people who get in a twist over every game with procedural generation and permadeath being called a "Roguelike" even though that particular subgenre used to be more specific to turn-based RPGs with procedural generation, permadeath and total loss of all progress between runs.
People who came into using the term earlier tend to think of it more narrowly, but colloquial use of the term has drifted to mean something more generic, e.g. "emulation" used to mean "making one piece of hardware pretend to be another", but now can sometimes just mean, "when one thing acts like another at all".
In this case, however, the term "to emulate" predates microprocessors, so it clearly can't have ever referred exclusively to ISA translation!
"Emulator" might be a more recent term—it would be interesting to see the etymology, actually—but it's reasonable to conclude that anything which "emulates" must be an "emulator". (Also, OP didn't actually use the word "emulator".)
Edit: Nope, the word "emulator" dates back to at least the 1800s (although it has certainly grown in usage more recently): https://books.google.com/ngrams/graph?content=emulator&year_...
Huh, what happened in 1984/85 that made "emulator" so much more popular a term than before?
Aha! It was Apple's Macintosh release, which included an Apple II emulator built-in: https://books.google.com/books?id=Ti8EAAAAMBAJ&pg=PA13&lpg=P...
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