I can see how it would be done with exact matches, but a lot of stores don't carry the exact same items, in order to remove price competition. The items may look and function the same, and be under the same brand, but they will be distinct models.
If I list a 4 slot, extra-wide, chrome toaster on a registry under one model number from Target, how could I know if I should buy a toaster matching that description at WalMart without scanning the list of purchased items? The model of one store offers the convenience of being absolutely sure there aren't any duplicate purchases since once an item is purchase, it is removed.
I just realized a toaster is a bad example for a baby registry, but you get my point.