Some years ago the right labeled the estate tax as the "death tax".
In the fight over abortion, the terms are "pro-life" and "pro-choice".
Some years ago the left came up with the term "gun violence" to cover both homicides and suicides. Putting both scenarios (as well I assume as accidental shootings) under one label can work in some discussions, but not all
I'm not sure who came up with "gun control". According Google ngram it doesn't really come into heavy usage until the 60's, as one might expect (there were 7 assassinations/attempted assassinations of political leaders from 1963-81).
I'd resist it--we don't talk of "automobile control" when discussing the system of registering cars and testing and licensing drivers. We don't talk of "drone control", when discussing what we're doing about drones. We don't talk of "drug control". "Regulation" might be the more neutral term.