Honest question: how should someone's domestic violence charge affect your choice of surgeon?
If the surgeon is prone to violence fits as you claim he might be, wouldn't it show on his track record as a surgeon?
Additionally, in the case of a bigot, the outcomes involving subjects of prejudice may be less meaningful to them even at a subconscious level. Coldness and bigotry can coexist, and certainly produce emergent results.
Also, that the best outcome of using surgeon who has a history of domestic violence is that they're so disassociated from the world, that beating a loved one doesn't matter is a really strange argument. Perhaps the argument is there isn't a better way, but damn.
I used to not be sure about robot surgeons, now I'm pretty convinced.
It's a good thing no one said that then!