I mean... yeah, any meaningful regulation isn't really going to have the greatest effect on those who do their best to skirt it. But as our society is based on financial incentive, it gives those with economic power more reason to invest in proper enforcement.

You won't have perfect enforcement of anything. But giving up because of the minor inconvenience it might impose on the "good guy with a gun" is counterproductive.

But those criminals would then have an additional, easy to prove charge against them. Directly to jail.

There's no such thing as criminals and non-criminals. Humans are fragile and their mental state constantly changes. That's the problem with gun ownership.