i run the e2 lithium when weight and long run on a high powered item is important.
On devices i Know will not be driven well with alkaline, especially on flashlights that cannot handle li-ion voltages, but act a bit weak with alkies.
take the jetbeam thing that POPs dead when you use a li-ion, or other things that overdrive with that voltage. the lithium runs a bit hotter then the alkaline, but doesnt always overdrive (fall completly out of regulation) like li-ion and gives great service.
you cant outright recommend AA&AAA lithiums (of any sort) to Everything in lights because some are "dependant" on alklaine weak regulation, the battery not pushing so hard as to damage drivers or leds or filiments.
just like you cant outright recommend a 4.2v RCR123 to all 123 users, lots of lights go overdrive.
i would "recommend" e2 lithiums of all 3 types, if you know the light can handle it. like 3AAA direct drives dont usually.
but the COST, geesh, hard to recommend when it might be EVER 120% better than cheap lithium that costs 50%.
for gift items, i shove the lithium e2 in, and maxell quality coin cell lithium, but i doubt the recipiant will fork over that kind of dough for a simple light after its depeleated.
if the cost was exactally the same, i would say "only buy" the e2 lithium, because its consistant, you can get it fresh, company supports, and it might be "safest"