Good question, and I'm a land surveyor. I live in Illinois and am licensed in Iowa and Illinois but we are pretty stable here. The earth is moving. GPS control points have what is called a Epoch (pronounced epic I think) assigned to them. For example in my area the GPS control points are assigned and Epoc of 2011, which is the year its location was valid . Even though Illinos is pretty stable there is some drift but every thing is moving the same amount, sort of. There are people at the federal level that worry about this stuff for us.
To answer your question, and this is just my opinion, if all of your property moved, I would say your boundaries would move along with it. For example if the earth moved south 10 feet, your boundaries would move south 10 feet also. I would say where the problem would arise would be where part of your property moved and part of it didn't, or say yours moved and the adjoiners didn't. I would say some kind of fair adjustment would be required to be determined. This is also assuming plate tetonics, where the movement is deep.
If it was just a land slide or some other kind of shallow movement, your corners might move, but the boundaries wouldn't move with them. In this case they would need to be reset, which might or might not be easy.