So, LD_LIBRARY_PATH did the trick. Not sure why Net::SSLeay doesn't set it automatically, though...

Not its job Should I set LD_LIBRARY_PATH?, Why LD_LIBRARY_PATH is bad

In reply to Re^3: Net::SSLeay on Ubuntu 18.04 with custom OpenSSL version by Anonymous Monk
in thread Net::SSLeay on Ubuntu 18.04 with custom OpenSSL version by cavac

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