I think the impression will probably be on the primer. But if instead of being put on by the firing pin, it's put on by the bolt face, it will likely be readable for as many times as you can reload a case. The impressions are microscope and the random orientation of the round would put it in different place with each round fired. The same would also be true if the impression were made by the chamber, plus the resizing process would tend to smooth out the old impressions.
Of course reloading would bring up the question of which impression was the last one.