Yep, that's what we practiced over the two day course although not with an automobile scenario -- mountain bike accidents, serious and not so serious falls et al. The point was always to run through an assessment to systematically determine the real situation. That process was repeatedly drilled in and donning gloves came before first contact. Sometimes the vic/patient was conscious and sometimes not so much. I would have been good before but may have hesitated. A lack of confidence can be contagious which is not good. The hands-on drills were very effective at building confidence.

As far as first aid kits go, the kit(s) in my truck will stay as they are (too much to carry but fine for a truck), but now I've actually practiced with a lot of that stuff and seen others demonstrated. I just finished tuning the kit I keep in my backpack; it's lighter and thinner now, and easier to find what I need not having to see through extra stuff.

One item we saw demonstrated is the WMI Wound Pack, which is fairly thin and easily packed in a small FAK. The pack is good for one serious laceration. Open the pack and use it up. I ordered a couple, just too convenient to pass up. YMMV