There is no question of parroting, as these was not classroom exercises, but
discussions between grown-ups trying to grapple with something difficult in the laboratory. After the Professor's explicit explanations, the student was able to carry on intelligently with the discussion and did not get stuck as he did with my Socratic explanations.
That still leaves the possibility that he only understood things in a rote-ish way. But if so, that was enough to get him unblocked and thinking about the other related stuff we were talking about. That's valuable in itself, and will contribute to his understanding of the original sticking point.