I don't think they are magical creatures either - but I think a therapist who was trained to be detached would be as useful as a chocolate teapot.

You say the ones you see are 'cold and impervious'. Perhaps they are, but with all due respect, you don't know how affected or not affected they are by the stuff that comes into their room, because you are very clear that you don't want to know anything about their thoughts or feelings.

You have hammered out an agreement with them that that is how they treat you because that is what you want, which is good because that's what works for you. But that's a different beast entirely from a therapist who defaults to not a state of not giving a stuff about the client or their problems.