The really good umps will admit when they blow a call. Remember when Jim Joyce made that horrific call that ruined Armando Gallaraga's perfect game several years ago? Joyce, widely acknowledged by the players as one of the best, couldn't say often enough how sorry he was, how bad he felt, etc. and apologized to Gallaraga personally before the game the next day.
Guys like West, Hernandez and CB Bucknor wouldn't have given it a second thought.