What you are describing is midrash....as in Beth midrash.
And there were THREE orders of Rabbi....
Lowest rabbi....not much more than a grammiton/experts in the Law....which is a Rabbi with no followers...or lawyer.
Middle rabbi....these tended to have standing. This was Saul/Paul before the conversion. He was rapidly gaining clout and stature. If he could gain some telmuhdeme he could become the highest order of rabbi.....schmeekah rabbi. AKA one with authority.
This title of schmeekah rabbi was the position Jesus took....its why the Temple guards wouldn't arrest him even when told to. Jesus explained the Law....and only a schmeekah rabbi could do that .
At Beth midrash the students could discuss the Law and process/memorize the rest of the tenakh....
But to explain it as if you had the authority to do so? And he was not a Levite Priest....that meant Jesus was a somebody. And a guard at the Temple knew better than to get involved in a theological dispute. (It would get you killed) just like the man born blind parents who were hauled before the Sanhidrin....they did not want to testify about anything. They in fact respectfully refused to say anything due to not wanting to die.
The blind guy?
He told what he knew.