Do you ask your T/pdoc/etc. how they are?

It's so interesting for me to see all the different ways people approach this!
I guess for me, it's both that I would feel weird not asking (I might even feel rude), but also I do care about how she is. Two sessions ago she told me she had a cold (because she wanted to apologize in advance if she coughed a lot) so last session I asked if she was feeling better.
We don't spend more than a few seconds on it though, I care about her general well-being but I don't expect or want her to launch into a detailed report of her day lol!

I don't ask how he is but we start with a smile and then I'll tell him I like his tie or how was the conference? or we talk about the weather or the baseball team while he glances through my file. At that point, when we're settled in I start in with something like, This has been a really bad week--which it always has been lately.

I pretty much always did as a matter of greeting, but we always had a few moments of idle conversation on our way back to his office or at the end of sessions as a matter of routine for us, so it was just the way we did things.

Sometimes after my session I will 'check in' with my T if I sense he was a bit 'off' or not his normal self. I don't have to do it or anything - and certainly my T doesn't have to respond, but often he does...in generalities. Something like he has had a bad day, or is nervous about an upcoming meeting, or something like that. I really appreciate his transparency.

I usually ask how she is doing or how her vacation/holiday was. With holidays she will usually say it was nice and mentions what she did. Recently she went on vacation when I asked how it was she said she had a good time but there were a few family dynamics that caused some stress but it was still a good trip. How she is found usually is good bur if she had been sick she says so.

I never ask him how he's doing, but I don't really ask anyone how they are doing when greeting them in person. I just feel awkward and figure it's none of my business how he is actually doing. It just feels fake.

Yes, I do. I feel like it's a natural part of the greeting. Of course, if she's having a crap day I don't really expect her to tell me that, so I suppose there is no real point to the question since I always get, "I'm good", similar to my, "I'm fine", every time she asks.

But we do a bit of chit chat each time I see her. When I see her next I'm sure I'll ask how her Thanksgiving was and if she has any Christmas plans. It's just a nice way to break up some of the intensity of some of the sessions.

YES. me too. Also, i don't really care that much

I do, because #1 I care and #2 my T relationship is practice for "the real world," but I don't get punished for messing up with T like in the RW.