You're assuming your personal head-canon. I'm looking at it from the pov of what we saw on-screen and general knowledge of the series.So I'm assuming sensible things. What's your excuse for assuming senseless things?
Those of us here trained in some medical capacity, sure. What part of "untrained to even know where the breathing hole needs to be" and "I don't want to accidentally slit the person's jugular" is so difficult to understand?Every one of us here at TrekBBS would be inclined to create the hole that was obviously needed, directly or indirectly. Skill doesn't enter that picture, although training in taking action of some sort (say, first aid training or hand-to-hand combat training) might speed up things.
I took basic first aid many years ago - decades, and don't remember most of it. I do recall, however, that tracheotomies weren't part of it.
It's a little hard to holler for help when you can barely whimper with what little oxygen you have left. We are NOT shown that anyone noticed the woman (and therefore hollered for help), and it's not mentioned that McCoy treated any of Charlie's victims. You'd think that he'd have been summoned to help when people started noticing crewmates changing and vanishing, but no mention at all.No doubt about that - people doing CPR as seen in the movies, or fighting wars that way, or enforcing the law, would be doing it wrong. But they would be doing it anyway. In a ship with 430 crew, hollering for help would quickly produce the guy or gal with the will (and never mind the skill) of punching the hole, so even your actions would save the faceless woman.
Then I recommend watching Star Trek.

It was an exploration ship, not a hospital.
Yes, I remember how the brainless Spock was able to not only perform basic tasks, but went right back to work as though nothing happened. Yep.And? He reanimated the brainless corpse with little effort aboard the ship, as I said. Miracles happen within minutes; impossibilities may take an entire act.
Here's my take on Spock's Brain: It was one of the dumbest episodes of any Star Trek show. Waaay back I started writing a parody of it - should dig that out and finish it some day.
I'm not sure about your Hitchens reference - do you mean Christopher Hitchens? I've seen a couple of videos he was in.Ideally, yes. In reality, there's always one Hitchens in every situation. (Not singling you out, TW.) I'd wager at least ten of us at BBS would freak out and turn tail.
And by the time we were unfreaked out, it'd probably be too late. Who wants lunch?