It's all UV light, but I don't think there are enough people who have used a UV box to say one way or another. Hopefully someone who has success with one can come in and give us their experience.
The list of ponies isn't a hard and fast rule from what I've seen. Usually certain white ponies are prone to becoming burnt more than others, but then someone else comes in and says they've had success with it. Off the top of my head this is ponies like Gingerbread, Chief, Confetti, Starshine. But all ponies can be damaged by too much exposure, so keeping an eye on them is advised anyway.
I would be *extremely* careful to cover up ponies with fading pink hair moreso than I would be worried about the color of the pony itself. Also be diligent with paint.