I like the idea of dragon weapons. However of those were the best weapons, heavy armor wearers would complain about how smithing then favors light as they then get the best weapons with less investment than heavy.
My solution would be either of the following:
1) allow dragon weapons be made that are the equivalent in damage to daedric weapons
2) split daedric/dragon weapons. Dragon can make stronger bows, one handed swords, daggers, and staves. Daedric, being heavier, has the stronger axes, hammers, and two-handed weapons. Roughly a 50/50 split and each favors the appropriate style of play.
Either way someone is going to complain. All the dual wield warriors in heavy armor would be upset that their daedric weapons aren't as good as dragon anymore, etc. It'll never work out where everyone is happy. But for now, it works just fine as it is. No matter how you look at it, Daedric has to be where it is, because it's made of Ebony and Daedra souls. So you would have to learn ebony, which is heavy armor, first. That's just how it is.