IMHO bitcoin core should maintain it's own SSL library to avoid such issues in the future, in fact it shouldn't rely on 3rd party, regardless if they're open source or not dynamically linked libraries to avoid any possible attacks too.
In software development, it's generally considered unwise to reinvent something that already exists in an established and scrutinized form.
LibreSSL isn't reinventing the wheel, but rather repairing a broken wheel. As LibreSSL grows more mature, and since it's a drop-in replacement for OpenSSL, it will with time deprecate OpenSSL and I'm sure the Bitcoin devs are wise enough to make the switch at some point.