The AA lithiums will work fine, and are a little brighter - probably shortens the life of the standard bulb. It should run longer and better in the cold and long term storage, but expensive to run. Good for a car glovebox light, but keep a spare bulb around.
For cheaper runtime, many of us use rechargeable NiMH AAs and a 3 cell bulb (such as M*glite), since NiMH have a little lower voltage. Again, keep spare bulbs around.