Unsure what your asking, do you mean do they have a responsibility to your wellbeing like a Dr has a duty of care.
Or do you mean should they express their feelings if they care for a client?

Personally I don't wAnt my PsyDoc bleeding emotions all the place. If he was to say he cared and was worried, I would feel guilty for my emotions and behaviour, cos I would not want to upset him.
I pay him so I don't have to worry about owing him emotionally.
We have our session then He goes in a box until the next time I can be bothered to go.