a few days ago we were contributed a merge request for an `.host` attribute on the connection. But looking back at the bug (https://github.com/psycopg/psycopg2/issues/726) I had already noticed there are other interesting informative connection functions in the libpq. Some of them are already exposed as methods of the connection class (e.g. get_backend_pid(), get_transaction_status() etc), but I can see a trickle of requests for others, so I'd rather expose most/all of them.
Instead of bloating the connection class with more and more attributes and methods, I'm rather adding a connection.info method to retrieve pgconn-specific information. The work is happening in this branch:
I would softly deprecate the currently exposed informative methods: not sending them away in a short time but giving a preference to use from the 'info' object what belongs to the pgconn/libpq and to leave on the connection things regarding the Python layer, and clean up the interfaces a little bit.