I did experience supposedly some of its use, but mostly as a coloring agent (yields a nice light orange tint). But for such purpose annato color is much cheaper alternative.
All that saffron rice to my taste is just regular, unlike jasmine rice, for example, which has a sweet floral, acacia-like, scent.
I know, some crocuses may smell very sweet, but those are fresh, not the dried ones like saffron often sold, not speaking that a lot of it may be fake for some 'curious' folks like myself :)