I have had 3 WILD's and 3 DILD's, which isn't enough to say for sure, but i've had the same results each time. During WILD you enter the dream fully concious therefore while your lucid in the dream your on a very high level of conciousness. During DILD you realize your dreaming inside a dream, and i have always found that im not nearly as concious.

During DILD's i know im dreaming, but i still go along with the dream but just add flying to it. I'm not concious enough to really change anything else and i often lose lucidity in DILD's.

During WILD's i enter the dream fully concious and have full control. I basicly make my dream around me and do anything. I can remember things that i wanted to do(ex. go though the mirror) and i'll try it out. I seem to be more concious and have alot more control during WILD.