Pedals are more precise, and with some practice you use them without thinking about it. I also find it easier to do something like a snap roll with pedals, as opposed to a twisty.

Sik
One of the best kills I ever made I'd never have been able to pull off with a twist stick.
I was in an F4U-1 (back before we got the 1A with the remodel), merging at co-alt with a P-47 I ran across while cruising home from a furball at about 15,000 feet. The merge was at fairly high speed (I punched on WEP as soon as I had him iconed) and we were offset about 300 yards to starboard to avoid a straight HO. He was setting up to swing around behind me as we passed, so I kicked full left rudder just as we were about to merge, and raked him nose to tail. Shredded his left wing in one burst.
With a twist stick I very likely would have had too much elevator or aileron input to keep my nose level. Additionally, I probably wouldn't have been able to time it properly, because it's simply a much quicker and more natural movement to kick the rudder than twist the wrist in that manner.