I agree to a point. But think of it this way…
It would kill consumer production, but most ammo sales are to the government and law enforcement right now, I doubt theirs would have serial numbers.
My estimate is the end goal is to have ammo companies dependent upon, and almost exclusively serving the government. Then having “non-serial” ammo would be illegal, just like machine guns, but possibly through some permits, fingerprinting and additional costs (actively waiving 4th amendment rights), one could acquire it. That’s how machine guns are now. I see this as a horrid step in the wrong direction that would totally eliminate our ability to defend ourselves against any threat, foreign or domestic, which is the entire point of having armed citizens.
The average ignorant American who does not own or use a firearm with any regularity, and does not understand simple economics will likely support this absurd idea.