I do think therapists are one of the professions that will be naturally displaced by LLMs. You're not paying them to be your friend (and they are usually very clear on that), so any sort of emotional connection is ruled out. If emotions are taken away, then it's just an input/output process, which is something LLMs excel at.
Put another way, a good therapist is professionally trained and consciously monitoring whether or not they're misleading you. An LLM has no executive function acting as a check on its input/output cycle.