Lower violence is a benefit.

Guns are only one variable and generally have nothing to do with the underlying socioeconomic causes of violence. We see this with state level homicide data - some states with high firearm ownership also have lower homicide rates than states with lower firearm ownership and more stringent restrictions.

"Nonexistent GV would be better of course, and one of the steps to achieve that..."

Do you have proof of that? My understanding is that gun violence exists everywhere to one degree or another. You can take various steps to reduce it, but it has never been eliminated.