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(Crypt-SSLeay can't verify hostnames)
It seems that, somehow, Crypt::SSLeay is getting involved, instead of (or as well as) Net::SSLeay. I suspect you may well find that Net::SSLeay is not being used at all (but I don't know that for sure, and have no experience with Crypt::SSLeay).
One thing I think you could do is to grab the test suite from IO::Socket::SSL and check that those test scripts run ok. For me, some tests are (rightly) skipped, all other tests pass.
If there are problems for you, firstly try with version 1.76 of IO::Socket::SSL (if you're not already using that version) and see if that makes any difference.
It seems there's a connectivity problem ... maybe someone else here has an understanding of precisely what's going wrong. (I don't.)