GPS coordinates of houses can change, while the address should stay the same.

Do you mean if the same house is moved to a new location on the same lot? I'm finding this difficult to imagine.

No, I mean the movement of earth underneath the house, tectonic plates etc. Earthquakes are one obvious example:

https://gis.stackexchange.com/questions/7182/does-an-earthqu...

To be fair, the cited displacement of 8 ft (average for non-earthquake situations is 0 to 10cm) is within the typical margin of error of a GPS. That is, the coordinate change is small enough not to matter for “election” purposes.

Addresses change a lot more often than gps coordinates. Streets get renamed, removed, or renumbered.

Fine... GPS coordinates as of a specific date.