This is not an argument that has any relevancy to AI. If anything, someone who believes what you say should be against the introduction of AI into the system because your argument is fundamentally that these drugs shouldn't have a gatekeeper. Swapping out one gatekeeper for another, especially with the new gatekeeper being the unknown black box of some AI middleman, won't actually address your complaint.

It is entirely relevant because removing the bureaucratic gatekeeping of doctors allows people to choose to use AI instead.