I am even dumber than Dennis today.
A brace is very big an clunky, heavy, I'd never imagine using a drill that would bend easily out of line, or snap off if I sneezed.
A pin vise is just a little cylinder with a collet at the end to hold the drill, spin it twixt your fingers like a pencil. Fingers get pretty tired trying to get thru the lug, eh.
I could see making a bow drill with the pin vise, as you'd get the speed. But ya might as well use the (cough) cordless drill.