"Proton is a tool for use with the Steam client which allows games which are exclusive to Windows to run on the Linux operating system. It uses Wine to facilitate this."
2. WINE reimplements the functionality of Windows, as exposed by the Windows ABI, as software running on Linux.
3. The combination of WINE and Linux is in fact a usable replacement for Windows.
4. Which means that WINE running on Linux conforms to the above definition of an emulator for the Windows system.
5. Therefore, WINE running on Linux certainly is an emulator for the Windows system.
QED
> Wine (originally an acronym for "Wine Is Not an Emulator") is a compatibility layer capable of running Windows applications on several POSIX-compliant operating systems, such as Linux, macOS, & BSD. Instead of simulating internal Windows logic like a virtual machine or emulator, Wine translates Windows API calls into POSIX calls on-the-fly, eliminating the performance and memory penalties of other methods and allowing you to cleanly integrate Windows applications into your desktop.
QED
You see this all the time when a jargon word enters the general non-specialist vocabulary. It doesn't make either usage wrong, though it can be confusing sometimes if the contexts can be difficult to distinguish. In this case that's unlikely so just give it up please.
Honestly the quirk where that is its name could be a really useful entry point for educating non-specialist readers on the different technical approaches used to solve this problem! I never see that though, this is only ever used as a wellackshully on internet forums. It sucks.
There was supposedly a naming discussion in 1993 which resulted in “WINE is not an emulator”. Maybe this was to remind people that you still needed an x86 processor (WINE is not an x86 emulator), or maybe it was born from the idea that WINE does not emulate Windows—maybe it “provides a compatibility layer” or “reimplements the Windows interfaces”.
The Windows APIs are not so well-specified that a mere reimplementation of them would run so much software as WINE does.