Rain, you struggle with this even IRL so therapy is a great place to work it through. Thankfully you have a T who understands, some Ts could panic about client finding out their location and driving by. Honestly, for me even googling s.o. I have some RS with is not OK- if it's a professional RS I'd do that before I see him/her to decide whether or not I'd see him/her. I just don't like to know more than the person decided to share. See, everyone's boundaries are a bit different.
As much as I don't understand this behaviour I think shaming won't help (never does with me). Being curious (love that phrase) might help you understand and stop this.

BTW I don't think T (not) offering lower fee says something about the RS (I.e. whether he likes the client or not)