What we know is that gubs arent the solution, but we know they arent the problem either. Banning them in a violent society makes things more violent. Im willing to suspect in a peaceful society banning them or not has no effect.
The solutions lie in changing our environments to be healthy, and improving access to mental health (which by the way is the exact opposite of what woukd haplen kf we toom away gun rights from people who seek therapy and get diagnosed)