My Red Eye Tree Frog's do the same (sleep even while moving the tank) and sometimes even when I'm moving the leaf they are on. The one that sometimes wakes up is the female, but she's new still and is also getting into the habit of staying asleep even when I'm changing the water bowls in their tank. All three are farm raised, according to pet shop owners.

I also wonder if it's better when they are awake or sleeping. I would think awake though because I don't think anyone likes to be bothered when sleeping.