There is also a triage nurse in every ER, whose duty it is to decide who gets treated first. However, of the three triage categories, one hopes in an ER that few if any patients will fall into the category of "dies even with help". But I suppose gunshot victims could fall into that category.
This is an issue before the ER or even stabilization point.
You have a battlefield spread out over miles, with dead and wounded all over, and limited resources to pickup the wounded.
This is about triage prior to sending people out of a bunker into an active combat zone to rescue wounded, not waste time on bodies or people that are going to die before they get to the ER.