Uh, no, a Win32 binary will run in Wine because of the concerted effort of thousands of talented developers for more than a decade, painstakingly reimplemting Win32 into a a compatibility layer for it to run on Linux.
There has been little to no interest in doing the reverse, at least until WSL, which is just containers anyways. (WSfU barely counts as an "attempt.")
I would hardly consider anything relying on a compatibility shim "compatible." Especially since Wine is not a perfect shim!
glibc is the main reason linux on the desktop has such a low adoption rate.
you cant just go and download a precompiled blob from a website and run it everywhere, like you can with macOS and Windows.
glibc only targets one audience, one which can recompile its apps when needed.
What linux badly needs is a stable ABI for Userspace Apps, and Win32 is just that sadly.