Why would you be sharing that? There's no reason why the navigation system needs to constantly tell a remote system where you are. Navigation systems don't even need an Internet connection for basic routing.

Navigation through gps means you're connected to a satelite at all times. has nothing to do with an internet connection. You're directly connected to the U.S. government (Space Force)

A GPS receiver is passive, it doesn't send any signal to the satellites. The satellite broadcast their position and what time it is from their point of view, and the receiver computes its position from that.

Also, there are now several countries that sent positioning constellations (obviously to not have to rely on the US for positioning), and most receivers support several: GPS (US), Galileo (Europe), Glonass (Russia), Beidu (China).