Still depends on how you do the identification. If you have to describe not just the location of the computer but the collection of fundamental entities that form it, then the more fundamental entities form it, the harder it (may) be to describe it.

Also, we aren't talking about a universe tiled with computers; we are talking about a single 2kg computer or two 1kg computers. We leave it unspecified what the rest of the world looks like. EDIT: Rather, what I should say is: I'm not so sure it generalizes.