Actually, the Go-Go White Sox started in 1951. Aparicio showed up in 1956. He was an instant sensation, although just a .250 hitter initially. He kept getting better and better, and he and Fox both had great years in 1959. Soon thereafter, Veeck traded him to Baltimore. Talk about dumb. Aparicio retired early with well over 2000 hits.
No one in Sox history was or will be dumber than Bill Veeck. Hahn will never catch him, although the Tatis trade was Veeck-esque.