Depends on what type of injury it is. There are lots of injuries that don’t require medical attention, such as minor sprains and hairline fractures, that you could survive as long as you had someone to feed you and take care of you.
I don’t think you can say you’re “more likely” to just die just because you don’t have access to a doctor.
Not just minor sprains and hairline fractures. The fact that our body can heal from much worse injuries, shows, that it was useful back then and not necessarily a death sentence.
I don’t think you can say you’re “more likely” to just die just because you don’t have access to a doctor.