I paid to stay at GC and I won a trip and chose to stay at DLH (I could have stayed at GC if I wanted).
Definitely, GC is a closer walk to the parks. DCA is right there, and entering right from the hotel grounds was really nice. It also wasn't nearly as far after leaving DL park.
Still, I guess it was because of the nostalgia factor, but I absolutely loved staying at DLH, and would stay there again over GC. The decor inside felt more "magical" to me, my view was great (although I could see Remember from my window at GC), and i loved taking the monorail into the park. DCA was a bit of a walk (maybe 7 or 8 minutes if you're just "strolling"), but for a WDW vet, any walk from a DL hotel to one of the parks is still shorter than walking to the WDW transportation bus stops at some of the parks (I'm talking to you, Epcot)!.
Also, the pool really is great. One of the best Disney pools I've ever seen. Whichever you choose, have a great time!