I don't think the concept of "compliance" belongs anywhere near therapy as you seem to be applying it here, and any therapist who suggested I "comply" with them would probably be fired before the end of the session.

But that doesn't mean I'm not am active participant or that I don't take responsibility for the therapeutic process. Quite the contrary--I make an autonomous choice to work as hard and as thoroughly as I can in therapy, and to use therapy as a way of seeking out growth, insight, stability, and health. It's my therapist's role to take responsibility for his portion of that by using his professional skill and insight to guide that process. And no one is assigning or doing any homework.

I suppose the closest thing to the idea of compliance in my therapy is around medication, but even there--my therapist prescribes based on mutually agreed on needs and goals, and from there it's my responsibility to determine whether meds are helping or hindering and keep him informed in order to give him enough data to form his own opinion on whether my medications are well-managed, but ultimately it's my assessment that matters most, as it should be. Compliance doesn't really factor in.