This is a common argument, and while it has some merit, it also reeks of illusion of control bias. Guns make people feel safer because they feel more in control of their safety.

In reality, if someone is armed and has broken into my house, I want it to be absolutely clear to them that I am unarmed. I want them to know that they have no need to attack me, and that they should just take some of my stuff and get out (by far the most likely reason they're there), leaving me unharmed. The alternative possibilities sound much worse to me.

This is true in almost every situation where people talk about guns being useful against crime. I think I am more likely to harm myself, to incite the other party to harm me, to harm a bystander (maybe someone in my household), or to harm someone that I perceive as a much more serious and dangerous criminal than they actually are, than I am to successfully be a "good guy with a gun who stops a bad guy with a gun".