Right, but the basic point - that people who have guns are more likely to die by guns is true, right?

The sophistry about whose gun killed them is kinda moot. They don't actually track whether the gun-owners died by their own gun or not, as you say.

But it's likely, isn't it? We're talking about people who either kill themselves, or kill their family members. It's likely using the gun that's already in the house, rather than a new, different gun being brought in from outside.

And if it is a stranger coming in from outside with a different gun, then doesn't that contradict the entire point of owning a gun? That you can protect yourself and your family from strangers with guns?