Not an issue if you're storing it properly. Even if you have biometrics it should still be stored properly to prevent theft.
"or an attacker overpowering you and shooting you with your own gun"
Gear is no replacement for training. Even if they can't shoot you with it, you have much larger problems if they can overpower and disarm you. It won't stop them from bludgeoning you to death with, etc.
"Also you don't have to worry about someone stealing the gun and committing crimes with it (maybe it can be hacked, but probably not by the typical home invader!)."
That's not really how criminal systems work. Usually your common criminals are selling the stuff they steal on the black market. You have specialized shops (organized crime) who buy stuff like this (guns, phones, computers, etc) and can hack it and resell it.
It's an interesting concept, but it will likely take a lot of testing. "Well-designed" is a matter of opinion, and not everyone shares that view.