Quite redundant in your question, however, concerning the lock installing/upgrading (wich is basically the same thing).
You can't move.
you can pick up items, drop them, and interact with NPCs (maybe this will be removed).
If you start an action like crafting a key card you will sotp working on the lock.
Concerning the break of the said locks, no clue, but we can guess the process will be the same.
You know you could always give it a go if you were that impatient Philip. If it does stop building, you know you can't move. If it does stop, you lost a few seconds/minutes of the build time - nothing.
It is indeed a bug that is allowing you to move. When locks were first released, you could not leave the room nor do another personal action such as crafting, however; there was also an issue with production and such. While fixing this, I broke the original stuff, hence why you can move... It will be fixed with the next sync.