Is there a proven and guaranteed way to do this? Because otherwise it sounds very idealistic, almost like "if everything were somehow better, then things would be less bad". Doctor time will always be scarce. It sounds like it delays helping people in the here and now in order to solve some very complicated system-wide problem.
LLMs might make doctors cheaper (and reduce their pay) by lowering demand for them. The law of supply and demand then implies that care will be cheaper. Do we not want cheaper care? Similarly, LLMs reduce the backlog, so patients who do need to see a doctor can be seen faster, and they don't need as many visits.
LLMs can also break the stranglehold of medical schools: It's easier to become an auto-didact using an LLM since an LLM can act like a personal tutor, by answering questions about the medical field directly.
LLMs might be one of the most important technologies in medicine.
Every other industrialised nation on the planet has figured this out, still some idiots play dumb and ask if the problem is really solvable
What do you do when we're finally under the critical mass of doctors needed to make new discoveries ?
Who's responsible when the llm fucks up ?
&c.
All of your points sound like the classic junior "I can code that in 2 days" naive take on a problem.