“America” is as helpful as “Europe”. The “average” experience is completely irrelevant to your local situation. For many Americans, adding a gun to the home will net increase the danger to its own family members on a statistical basis.
A gun is a pretty terrible means to prevent burglary too. Unless you’re gonna make it really publically clear that you’re a gun nut, it does nothing to act as a deterrent to potential burglars. A simple security system or a dog is often plenty. Conditioned on you being burgled anyway, the probability that you can safely get your gun and load it and defend yourself is pretty abysmal for most means of safe storage. Most burglaries are also just someone getting in, grabbing a handful of crap and leaving. A safe is typically a pretty good defense against this tbh.
Speaking as a gun owner and someone who has been burgled.