Never shot with a D2H, though I came close to buying one years ago. I ended up buying a D1H instead to save money and get slightly better high ISO. I still use it, primarily for low-light sports/press photography. The D200 doesn't meet some of those needs quite as well. If it did, I'd grab it instead (it usually gets the shorter lens when shooting sports). My next upgrade for main sports/long lens press body is most likely to be a D700. The D3 simply does not make sense considering it costs 1.5 times as much as the D700 and offers nothing additional in image quality. D3s/x are too expensive, and D600 isn't too attractive personally speaking, due to a few key missing features/specs. Nor are the D2H/x attractive anymore as far as I'm concerned (low light/high ISO being the reason).
But if I had a D2H, I'd still be using it...that I can say for sure, since I'm still using the D1H and D1x and D200.