That would be good - a lot of games give you better stuff according to how good you are or how proficient your skills in one area. Perhaps one door could come up with a riddle that, unbeknown to you, is designed to work out where you are flagging behind and then make it so you are forced to use weaker elements of you character. A different way of levelling up, I suppose. I mean, I wasn't a fan of bows in Fable TLC because I preferred the use of Lightning and watching their heads pop off...but say I was to visit one demon door and it saw that I was no good with a bow, the task behind it could be totally reliant on archery...
It would be really awesome if, again at random, when you opened a door, it transported you somewhere else entirely and you won't be able to get back until you do a series of tasks. But the rewards will be unique - like a weapon you cannot buy or find in a chest...or some new magic skills which cannot be taught or bought with experience orbs.