It is. Hundreds are shot every year because a toddler/child/criminal/drunk owner/careless owner gets a hold of a gun, shoots in the air/out the window/off the porch/into the wall or ceiling and hits an innocent bystander.
Note that you are conflating non-neighbor deaths and injuries with neighbor, and deliberate crime with screwup. A very high percentage of the presented arguments and evidence ostensibly for gun control do that kind of thing - misrepresenting the physical reality - usually even more blatantly than your more restrained take.
The number of bona fide neighbors shot in such ways is not hundreds per year. (My bet would be - and it's not easy to get an accounting of either one - that it's significantly lower than the number of people seriously injured by air bag inflation in cars, a hazard the government mandates.)
My neighbors's guns have never once even come close to injuring their neighbors. Thousands of neighbors's guns, decades of time, several different neighborhoods - never once even close. Even the deer hunting clown show hasn't had a neighbor shooting a neighbor. Yet.
My neighbors's cars, snowmobiles, chain saws, snowblowers and lawnmowers and so forth - carnage, by comparison. And barring the cars, not a whit more "useful" or "necessary".
Thank you; now perhaps we can lay that pointless tangent to rest?
The harm done by these fantasy and strawman arguments, such as the "can't fight the army" irrelevancy or the "belong to a trained militia" illiteracy, is directly relevant to the thread topic.
In my opinion, it is one of if not the major factors jamming the politics and blocking sensible gun control in the US. It's a major source of mistrust - bad arguments create mistrust - and the mistrust is key, central.