It depends on your interpretation of the definition. If the two "computers" that the webster definition is referring to have a different architecture, then Wine does not fit that definition, because Wine relies on the fact that it's the same computer architecture, namely an x86 PC.

If you combine Wine with Rosetta to run Windows programs on an M1 Mac, then it is definitely emulation by any definition. But then it's not Wine that's doing the emulation, it's Rosetta.