Just to add.
That if Gedolei HaDor in our generation are capable of displaying an ability to somehow know things others don’t I would assume that Chazal had the same capability.
And while I personally am a “Kalte Litvak” I can’t really deny things when they happen state.
I was admitted to a Major Hospital and had several top doctors on my case and they were “pessimistic’ of my chance s for a compete recovery.
Gedolei Yisroel in EY were approached and they stated I would recover completely, one of them also stated explicitly that the Doctors would be unable to figure out the cause.
I recovered completely , and in fact was the featured exhibit at a department wide Medical Conference.
And towards the end of my hospital stay one of the unobservant Doctors admitted that in my case it seems the “rabbis were right”. And actually during a follow up visit some time later this specialist stated there are some cases which are pretty humbling.
And for the record they could not figure out the underlying etiology.