Not at all relevant from the point of view of someone at the other end of the connection though.
If you connect to my server via wifi, I have no visibility of the SSID that you are connected via.
The information google connected is only of use if you are at the wifi end, where you can then relate an SSID (or possibly a MAC address) to a geographic location. Something as the user you know anyway, but a handy hint for a passing satnav perhaps.