They have enabled the Portability option now for $35 a month so moving StarLink is possible.A few months back, I saw a video of a guy taking his Starlink away from the home location (I think in Regional Vic) and I am pretty sure it stopped working at a particular radius (<100km) so the assumtion was there there was geolocation (at that time). Presumably to allocate bandwidth appropriately.
However things might have chhanged with more satellites and loosening of restrictions relating to mobile.
So it is an interesting experiment!
Perhaps now there is now sufficient bandwidth most places so that it does not matter if a very small percentage of people go mobile & they have relaxed things accordingly? I have a longer term interest in a boat installation.