I find this thread (particularly the title) condescending and a little insulting.
Who on here has suggested their T wasn't human? Or didn't have human needs?
As others have said, the therapist bears all the responsibility for assessing their own capabilities with regard to outside session contact and self care. It's in their ethical code.
You may not like to think about your job outside work but if you agree to overtime that's up to you. Therapists are capable of taking care of themselves.