I come from a kayaking and mountaineering background where waiting for the emergency services instead of self-evacutaing would inevitably lead to death.
but we don't choose those activities or places. Were there to be no prospect of a timely rescue we would have to improvise for ourselves as best we could, at greater risk to the victim.
If you do not have the skills to assess, stabilise and evacuate walking wounded then perhaps it might be an idea to go and get those skills.
I think you're theoretically right, but I don't think I ever will, so we'll just have to muddle through.
I was knocked out in a fall from my bike 2 weeks ago, and had to be forcibly restrained from riding on while not fully conscious (I still have no memory of this), and even when I appeared to be OK, I subsequently lost another 5 minutes while riding and have no idea how I got across the narrow flag bridge over Austwick Beck, so presumably I could have easily fallen onto the rocks there too, and self extraction has its hazards.