From everything you've described about therapist #2, I would be put off balance by the jealousy comment too, just because it would shake up my perception of him. On the upside, it does show that he's more human and approachable than you reported early on.

It is a strange confession though. Does he have a dry sense of humor? If so, I would look at it in that light and be glad to see a different side of him. If he was being totally serious, I would want to talk it over with him to understand it better.