There should be a distinction drawn between how the proletariat should be armed and how right-wingers want to be armed. The right in America uses guns as toys and an intimidation tactic against the poor. They're armed out of hatred and only care about their own guns, or perhaps that white people stay armed. American gun ownership, especially the 2A people, is an artifact from frontier justice, from slave catchers, lynching, all of that. It's disorganized, individualized, and fully absorbed within the capitalist framework.
The proletariat being armed implies for a purpose other than standard American gun ownership. We want liberation, we want to fight racism. So in that sense, gun ownership should be organized. Who commits mass shootings? Mostly disaffected white people who purchase a gun when they shouldn't have them.
I'd actually like to point to Switzerland's model of gun ownership. I know they're capitalist and imperialist and everything, but the gun ownership model is still interesting to me. You have to be involved in a militia there to have a gun. Guns and ammo belong to depots, so they're communally owned. You have to do regular training and drills to have access as well. So to have a gun you have to be part of something, you need training on how to use it, you need to be focused on using it for a specific purpose.
That's how the proletariat should be armed, in an organized way. We shouldn't be scared of restricting gun ownership based on purpose. They're not toys and shouldn't be bought and sold like toys. American gun culture is severely broken and downright frightening. It doesn't represent an armed working class at all. It's a disorganized mass, it's the working class pointing guns at themselves. Combined with a lack of social purpose it's like you said, a recipe for mass shootings.