Actually, there are a couple of ways this bill could work ro the advantage of a clever criminal.
I could, for example, swipe a few rounds from a random shooter's ammo box at Kokohead, then use those cartridges in the commission of a crime.
I could also use slight-of-hand to plant a few reloads in someones range bag, then call in an anonymous tip the the police that said person had unregistered ammo in their possession.
I could disassemble my ammo then pay a black market laser artist to change the numbers. With a little networking, I could probably learn the range of numbers reserved for HPD and use those, framing officers for vigilantism.
In each case, this new technology would provide concrete proof that the party was guilty. Sounds like a good system to me!