I saved prior to identifying the item. After that, I identified the item and then reloaded my save game. When I identified the boots again, they were unchanged.
I suppose that I'll play with this a little more the next time I come across a randomly dropped item.
Here's a related question: Do items that are not randomly dropped have variable statistics as well? In other words, if I come across a sword in a dungeon that is lying on the ground, will its characteristics vary just like those of a randomly dropped item?