I'm sure malicious bots do try to mass message repository owners through Github. It's called spam and every platform over a certain size experiences it. I expect Github already has measures in place to block it.
When I searched Github it seemed like most of the supposedly leaked passwords were actually examples or placeholders and not a problem.
It would be one thing if Github ran (or at least sanctioned) a feature that warned you of possible security problems, but I don't think I'd like potentially multiple, poorly-coded bots going around messaging repo owners.