This doesn't solve the co-mingling problem which would immediately solve a lot of issues...
If the manufacturer opts in to this serialization, as a customer, co-mingling wouldn't be an issue. If a co-mingled counterfeit item gets picked, it wouldn't leave the warehouse. The Amazon worker would then put the counterfeit item to the side and find a genuine one.
For the manufacturer/Amazon, it would still be difficult to find who shipped the fake item.
Instead Amazon gets to point finger and blame bad bad manufacturers not bothering to do Amazons job.