That would be my wild hunch but I have zero evidence to claim such, so no I don't think that until shown evidence either way.
There are plenty of studies that show if guns are harder to get, murder rates go down.
https://www.sciencealert.com/scientific-evidence-that-stricter-gun-control-works-saves-livesSo bazookas, if they were legal, wouldn’t be in the hands of criminals, just those who wanted to own them legally.
The argument is so obvious, it’s probably 4th grade math.... if you ban something and availability goes down, then it will be harder to get. So your simplistic contention that banning handguns wouldn’t work is complete nonsense.