I think it’s more a situation of getting shot and then giving up rather than crawling to cover, wrapping a tourniquet and and calling for aid. I’d imagine the shock of being hit by a bullet could be confused for disorientation due to blood loss, even if little blood has been lost yet.
But that is the opposite of the advice being given. Your advice is "if you get shot, do something about it, or it may kill you". The advice above is "if you get shot, grit your teeth and will yourself to stay alive, so that you don't die".
From being in several life-and-death situations, you'd be remarkably surprised how far will-power and adrenaline will get you.
But no. The advice is the opposite: don't give up just because you think you should be dead; do literally anything else other than give up. Preferably, do the things you've been trained to do, but even if you just stay awake and fight for your life ... that is preferrable to giving up.
