Do you care/want/believe the therapist will remember you after you quit seeing them? Why? I mean in terms of a specific thing that is longed for. What possible difference would it make - particularly since it is not like, for the most part, one would ever know.

I don't remember most specific students - I like them well enough when they are in my class and I care about what I am teaching them- but unless they were total jerkwads - I rarely remember them past a year or two - some I don't remember the next semester. I don't remember most clients either. None by name. I don't see therapists or therapy as having any reason to be different.