If you stay in one place and try to draw, the Tueller drill goes very badly for you.
Odds are much better if you move. Any movement beats deer in headlights mode.
Movement behind cover or obstacles works better, though. Or movement timed properly, when it's hard for the attacker to turn because of a committed attack - but that takes more training. (Not saying that's bad, just that for people who don't train much, timing is not easy.)