Sure they can, but many don't either because of lack of time, or quite frankly, because many doctors are bad at their job. And even in the best case scenario we will never be able to provide doctors to 100% of the population. For many people the choice won't be AI or a (free) caring, passionate doctor who has time to understand you and answer your questions, it's AI or nothing.

Same with teaching. A lot of people simply don't have access to teachers, and if even the ones that do, might not have teachers that have the time and knowledge to actually teach what they want to learn.

It's very easy for me to see how an "LLM teacher" developed and trained specifically for that purpose could be of HUGE value over that status quo. That doesn't mean that the child's human teacher goes away, only that they now have access to a new amazing tool at home as well.

There is a lot of value from just having help diagnose/triage people with illness. Certainly not a replacement but definitely a complement to get access to healthcare to more.

Quite possibly both; governments only switched to universal education instead of having 12 year olds in factories because it was good for the economy, even if some of the lessons are supposed to be good for the (for lack of a better term) "soul".

AIs have more patience than human teachers.