in my days I've been around a bit and seen a few things. Most of the time I work in an excessively remote portion of Alaska with limited resources and weather related travel restrictions frequently; the rest of the time I work in a 50 bed ER near Denver. In Alaska - which is not combat related of course - the vast majority of what I see is not traumatic, it's medical. chest pain, belly pain, difficulty breathing, etc., and there are times I may have to sit on a critical patient for two days before they can be flown out. More medicine also holds true for the ER in Denver, but we see more trauma there, mostly due to population size, some due to behavior (eg, drug crime, car accidents, etc).
While so much of civilian medical training and EMT training is focused on trauma, I think it's too finite - you're much more likely to experience medical issues than trauma. In some ways, the primary significant traumatic things that tend to kill people (hypovolemia, pneumothorax, airway compromise, etc) are "relatively" easy to deal with (with the right training). When I was a paramedic I actually become somewhat bored of trauma - because it's so similar in so many ways, you do the same stuff all the time. Medicine is much more varied, challenging, and rewarding - at least to me.
One of the best programs I've seen is run through Harbor View Hospital in Seattle for mariners in the northern pacific and Alaska. while they do have some training, the captain has a box of a variety of drugs and a small handbook. Someone sick or hurt, the crew can call Harbor View, get some guidance for what is happening, and use meds they have on board. Buys time until they can get to port, but doesn't require the use of the Coast Guard most of the time.
The point of all of this is that trauma (outside combat duty) is less likely than bad medical things. As such, expanding one's medical knowledge as far as you can is a good thing. While medicine isn't everyone's passion/career/calling, more knowledge never hurts. Take classes. go through the Wilderness First Responder/EMS courses if you can (takes EMT basic cert first...so a commitment).
If you are a dedicated traveler/overlander, and have phone communications, maybe you can work something out with your doc if you have a good relationship - get them to write you Rx for certain meds, bring them along, and contact him/her if needed. Not everyone will do it, but it's worth a shot.
one other thing - I have to agree with the military folks about the use of CPR. When bullets are flying, buildings are burning down around you, or in some other way the SHTF, the application of CPR has limited worth. The START triage algorithm that is the standard for EMS doesn't even mention CPR if you have several patients and not enough resources - because it dedicates time/resource to one patient that is probably not salvageable when it should be dedicated to others you can save. It's cold, it's callous - and it's reality. Also, CPR by itself has dismal statistics for bringing someone back - without defibrillation and the right drugs within 4 minutes your odds approach <1% extremely fast. It can be a valuable tool - but it is not a panacea, and like every tool it has its application.
Going into the wilderness prepared for medical issues is, IMO, just as important as recovery gear, fuel and spare parts. It's what gets you home. Si vis pacem, para bellum.