I verified this and monks do get more exp. If they don't then it changed since I leveled up my monks.

I took four monks, all with the RaF bonus and checked the exp reward for a quest, then got the enlightenment buff, checked again and the exp was higher.

Granted the /played time was higher on my monks, but I attributed that to the very very long time in the start area before being able to pick alliance or horde.