If my T tried to give me homework, I'd probably be really po'd.
Personally...I don't like psychiatrists very much. I think yours is the exception to the rule, and it's great that you have him.
If he works together with your T, even better, and it can't get much better than having a T who you not only like, but is also HELPFUL.
I've met a lot of people who have therapists they like, but they don't help them.