Did you find where they talked about what configuration options were given to OpenSSL? The benefit and curse of complexity is that OpenSSL can run on everything so what config options are used are very important. I struggle to feel like this is a reproducible benchmark as 'default options' for OpenSSL turns into a whole lot of autoconfiguration depending on the host OS detected and I am not sure what version of Debian they are using for this test and how that was configured (stock or otherwise).
What would have also been nice if there were packet dumps from each to see if there was anything interesting there as well. If it is like you say based on BoringSSL it would be interesting if rust did something different at the packet handling level that OpenSSL did not.