I don't "worry" about caring.

I do expect a level of caring related to the profession I am working with.

I expect professional care, including from my therapist.

I expect professional care from my medical doctors. I expect my childrens' educators to care about the quality of teaching and education they are providing to my children. I expect my mechanic to care that he or she performs a quality and honest service on my vehicle at a reasonable price. I expect my pharmacist to care that my meds are filled correctly, that I am informed of possible problems and interactions (yes, they do that). I expect my chorus director to care about the quality of rehearsal structure and performance preparation he guides us through. I am a professional and care about my students and the quality of teaching in my classroom, but I do my best to leave my work in its place; I have other priorities and I don't apologize for that. Neither should any other professional, including a therapist.

I think people sometimes expect therapists to care more and go beyond the professional level of caring required of them. I do think the care they give is probably different than some professions, but I don't think they should be expected to care necessarily more.

All professionals have their own lives. They don't take their work home with them if they can avoid it, and if they do, they are probably sacrificing in other areas of their lives which may not be a good thing if they are putting their self-care and family relationships on a back burner.

The problem comes when people expect a professional to be something more, something other than their profession. Professional context matters.