Hate to say it, but the firearm accident rate has gone down steadily. Which could mean that regulation DOES reduce problems with guns.
Watch what you celebrate.
There are several reasons for the reduction in fatal firearms accidents. I do not think that regulation is one of them.
First, much better firearms training about safety.
Second, better firearms from manufacturers. Partly because of liability issues, it is almost impossible to buy a new firearms that will go off when it is dropped.
Third, the switch from keeping loaded rifles and shotguns for defense of the home to handguns. Handguns are much less deadly than rifles or shotguns.
Fourth, better medical treatment. Gunshots that would have been deadly in 1920 are much more treatable today. We can include better emergency service with this one. People get trained care much faster.
Fifth, the constant push for more infringements on the second amendment by overstating the danger of guns has made many people hyper vigilant, which has likely reduced accidents.