My two worries about this are -
1. Pushing on handguns will allow the Right to push the idea us evil libs want suburbanites to have no protection in their own homes from the hordes of criminals obviously running the streets, even if we say fudd guns are OK.
2. The under 40 or 45 gun culture has become fully boogalooized, and going after handguns will be seen the same as going after any gun.
Shotguns are better for the rural/exurban normie looking for home defense-more incapacitating power, far easier to use with little training, and far less risk of a bad outcome of theft/resale, tragic accidents, or suicide.
The boogaloo types are comically easy to paint as right wing extremists and hate groups, because they admit to being right wing extremists and openly spout hate speech. Your average rural gun owner doesn't see an ally in the boog types, they see Ruby Ridge or a half-blasted Alfred P. Murrah Federal Building.
edit: even people that normally wouldn't own a gun, or had never owned a gun before, own low powered rifles and shotguns in rural areas. Varmint control (keep the rabbits out of the garden), filling deer tags, and in case a wounded animal winds up on their property or is involved in a road accident and needs a merciful end.