Do not confuse the IPSC game with real life.
mhm, I never saw it that way
I also was taught to move to cover while returning fire (see above), but:
WHAT COVER?! Let's face it: If you have to draw you will be suprised and cornered or at least close to the threat. And no glass, car body, wood door or diner-table etc will give you cover from a 9x19mm or a .357 Mag. And a moving man at short distances is very easy to hit. So, in many situations I'd still think: why waste time actually downgrading my chances?
Of course it depends a lot on the details of the very situation. But I think that response speed is more important than getting out of the way because the way can be bent as quickly as you can try to get out of it...