This process of most doctors is: 'gather up available data/symptoms/test results from this patient, then compare against medical research to see which diagnoses fit and which is most likely'.

Since the process is so mechanical and so stats-driven, I think statistical computer models or even AI would do a much better job of it than your average doctor.

But due to the medical field being slow to utilize new methods, we don't see any of that yet, and the end result is far more people get false diagnoses than would otherwise. We can accept a human making a poor judgement sometimes, but we do not accept a machine doing the same, even if it's right more of the time.