My T has never given me a homework and one of the reason I chose this kind of T (psychoanalytic) was because I knew that there will be none of this homework crap.

This homework business sounds like a teacher-student situation to me and no thanks, I don't need a teacher in disguise of a therapist.

Also, a therapist giving a homework to me sort of implies that he knows what I should do (this particular homework) and I'm completely opposed to that view.

So no thanks, no homework for me and no therapist who would like to give homework either.