Lithium' will last longer in just about any application, but you have to determine if they last ENOUGH longer to be worth the added cost.
You can buy Rayovac AA cells for around or less than $0.50 ea at most places in a medium to large size package. Energizer lithium AA's run about $2.50 ea most of the time....
In a slow-drain device, I'd say that the lithium needs to last almost 5 times as long to be worth it on paper.... However, in those slow drain applications, lithium primary cells generally last anywhere from a similar amount of time, to 1.5-2X the alkaline.
In fast drain devices portable electronics, sometimes you really do get 5 times the runtime, and more steady output, and less weight, etc etc, so they can easily be justified.