I can confirm, that, using "fresh/clean" Strawberry Perl 22.214.171.124 -- i.e. your version -- the installation of IO::Async fails. That's not the case with Strawberry Perl 126.96.36.199 though, where IO::Async installs OK.
To follow AM's advice, upgrading Socket issuing cpanm Socket under 188.8.131.52 did fix the issue.
I see, however, that
t\70future-io.t .............. skipped: Future::IO is not available
in my case, but not in yours. How come this distribution was installed at your side? It's not required for IO::Async (nor Future, etc.) and its pod says it can be problematic with Win32. I'd suggest to uninstall it, or at least to backup/rename ImplBase.pm, to allow "clean" (i.e. unenforced) IO::Async installation.