Well, we do do it that way, on the stovetop -- but I have to say our bibimbap is not particularly authentic! In fact, we used to just make it in the rice cooker -- let the rice cook until the water was reduced, then crack in a couple eggs, let them set, and serve with kimchi and kochujang.... we were operating according to the spirit ("stir-up rice"), if not the letter, of bibimbap. Last night I made it with some leftover rare sliced steak, which is what got me thinking (and posting to this forum). We've wondered if maybe those particular Korean cooks my husband knew were making their hometown version of the dish. I guess we'll never know!