Gun death reductions will be achieved by decreasing the density of gun ownership without specific emphasis on any particular subset of the gun owning population.

Do I have that right?

Not at all. That was just an explanation of the vector by which general restrictions on gun ownership (like a nationwide adoption of the "good reason" licensing system that is used in some other countries, and used to be in place in DC) would translate into a general reduction in gun deaths. That's the mechanism by which having fewer guns can translate into fewer gun deaths, even though criminals who are indefatigable in their efforts to get a gun will still be able to get one.

But there are also lots of measures that are intended to more surgically address certain subsets of the gun owning population.

For example (and this is going to SCOTUS next term), one measure intended to reduce gun death is a restriction on gun ownership by those who are currently under a restraining order for domestic violence:

nytimes.com - Supreme court gun laws domestic violence

Albaby