Not entirely, they can't check every single thing, and because they inventory mix, if I have a legit product and you have a fake, once it's all tagged as the same, they'll send whichever one the system picks regardless of who's 'store' I buy from.
Additionally, because of inventory mixing, they don't really know who put the fraud in and who didn't (maybe they do, but they don't seem to do anything about it)
Additionally, some of the stuff on the site is not stored or shipped by them at all, you buy from the store site and it gets shipped from the vendor.
So no, they really haven't made a system that they can use to validate their items sold at scale.