I think it would be an individual thing. Therapists are more/less interested in some people and maybe would look to see if they could understand where the person was coming from better or if the person spoke of something of theirs online, etc. I know my T was talking about a movie and I went to see the movie and we discussed that. Books, too. And I talked about a group function I was part of and she attended that (and I ducked behind some tables and asked a friend to keep and eye on her, tell me what she was doing, LOL). I think T's may be curious () about someone, have a question between sessions that may interest them but not necessarily have anything to do with therapy. I don't think they get obsessed about their clients or anything like that, sit around like we do spending a whole lot of time over and over looking up one person (or a list of people :-)