Two other issues with the monorail. Sometimes it's not running at all. Now, you're staying at the DLH so you'll be walking by anyway, not going out of your way, so that's OK. We once walked from PPH to the monorail, to find it not running yet at all. We'd gone out of our way for it.
The other issue is that it puts you back in the Nemo area. That's not always where you want to be for that first hour, and backtracking to where you want to be isn't really fun. Especially if Fantasyland is your intended destination, you have to travel "backwards" to hit the rides in the order that makes the most sense, short-line-wise. For instance, going by "Peter Pan first, always first", you have to go all the way back to the beginning of FL to get there. Probably faster to just walk there from the main gates of the park.