Why work the bottom supers first?
Believe me I have done it the other way, mostly due to exuberance, and it doesn't work. If you smoke, wait and then lift the top cover, smoke and start pulling frames, as the bees become agitated you smoke them down again. (I had a very grumpy hive, black feral, and I had to smoke them every 20 seconds or they would start buzzing, head butting me like crazy and stinging my hands etc., you know the mean warning buzz sound). Anyway, if you keep smoking the mad bees down they start sending alarm pheromone or? Now you are done with this top box. The first box usually doesn't go too bad. So, you set the first box to the side and now there is a million bees in the second box which were drove down from the top box due to all the smokeing on top of the frames(from the top box). Who knows, maybe you pull the frame the queen is on you can tell because they get even more agitated. The whole cycle really starts snow balling and not only are you driving pee'd bees down but they really start to well up, poring out, from even deeper and things are not fun at all then.
You then Get the Hell out of there!
If you start at the bottom you are not working your way down and meeting the bees you are forcing down.