Personal experience: The AD2000 does not even pretend it can hold a candle to the HD800, and for good reason. HD800 is objectively superior in literally every way, by a really really huge margin. Not even a question.
The HD800 is arguably the best dynamic headphone in the world, contending with just a very few others (typically based on listener frequency preference). The AD2000 is not a contender. Most people say, and I agree, that quality-wise the AD2000 is more on par with a well-amped HD650. Its street price reflects this precisely.
You may prefer its sound signature in much the same way that many people today prefer Beats, but that bears little to no relevance on its actual sound quality. But for informational purposes I will compare its sound signature: Sound signature-wise, the HD800 is similar to a AD2000 but with more sub-bass and more upper treble. The AD2000 is colored to push mids forward. In every area regarding quality of course (soundstage, separation, clarity, detail, resolution, bass punch, treble crispness, mid sweetness, liquidity, naturality, etc. etc. etc.) as I mentioned, the HD800 is in a league beyond the AD2000 by every metric.
Oh incidentally one thing the AD2000 wins on: It sounds pretty nice out of anything, and is ridiculously efficient to power. The HD800 sounds like mud out of a portable media device, yet contrary to popular belief it still sounds just jawdroppingly brilliant even out of a good $250 dac/amp like my NFB12. While you may need a $1000+ dac/amp for the HD800 to show its full potential, you certainly don't need much more than a good $250 one to reach a level of stunning quality that an HD650 or AD2000, no matter how excessively amped, will never approach.