Hunting accidents typically fall into one of two categories:
1 - carrying a weapon in a less than safe condition, such as climbing a fence with a hunting long gun with chambered round; or
2 - failing to properly identify target or backstop.
So those tend to be the focus of hunter safety training.
People keeping firearms in the home or on their perso s I. Holsters do not typically run afoul of the first; people forced to use firearms in self defense are, unlike hunters, always under pressure with regard to the second.
So, again, your example fails.
Seriously, we have had carry in constitutional carry or no-training-required carry states for years - decades, even. If you wanted to find it, you could find statistical data that is directly on point and supports (or refutes) your idea. You obviously do not want the bother.
I, on the other hand, do not want the bother of allowing further governmental infringement of a right that shall not be infringed. The onus is on you.