How would you know you live close enough to one for a physical link with it otherwise? I guess they could put "General 10km area here" but would still be kind of bad for people living on the opposite end of the "general area".
I believe many of these sites do not belong to Space X but are rented by companies offering such services. So they uplink for other companies as well and deal with regulatory stuff etc.
In many jurisdictions, you need a license to operate a teleport, and the applications are public and require a precise location.
There's a lot of RF emissions right there.
and yes, they are actually called teleports, that's not a typo
these seem to be just operator hq locations, not necessarily the station street addresses. but yeah, the locations would be public information.