I don't understand the appeal of GDQ at all whatsoever.
Then again I don't understand the appeal of game streams either. It's one thing to watch a walkthrough or watch for the players comedic ability, but to watch someone play a video game like you're watching a tv show does not make any sense to me. It seems to defeat the entire point of video games as a medium.
If someone is doing a speed run, I find it interesting to see what tricks he's come up with, but only if it's a game I really care about like a Metroid title. Usually I only watch longplays of games I know I will never play (or really old games that are a pain to find and install) because I'm just curious what the game is like, but I don't feel like investing the time of finding/downloading/installing the game or the time of figuring out how to play it and beat it (getting stuck on puzzles or really difficult parts). This only applies to single player games.
The only multiplayer gameplay I watch is Macie Jay on R6: Siege. He's entertaining because he's extremely good at the game, and I can actually learn strategies from his gameplay. But I only watch his highlight videos. I don't understand watching someone play live, especially if it's not an intense game, and I can't stand people who just try to be funny while playing (they're comedy generally consists of screaming, extreme close-ups, and other 12 year old humor).