My female T has said multiple times that she's thought of me outside of session. It actually has never phased me, but our rapport is casual, girlfriend like. Not that we are friends but that's how the dynamic feels in session. Now if my male pdoc told me he thought of me outside of session then it would be very different. I am 100% positive he is aware of that, so even if he has thought of me I know he would never tell me so. But from my female T, it seems natural.