Possible working combinations for the Jil Intelli:
CR2 lithium primary
RCR2 lithium-ion rechargable
14500 lithium ion rechargable (with CAB extension body)
2xAA (alkaline, lithium, and presumably, although I'm not certain, NiMH) in the BUS extension body.
The Intelli will not light using the CAB with a regular AA battery (NiMH, lithium, or alkaline), even on a lower mode. I would expect it to work with the AA-sized lithiums you can pull from a CRV2 with the same performance from a CR2 primary. A SAFT cell would probably work, but even at 3.7V, it likely wouldn't work on the higher levels because these cells have too low a current ability.
Best (ie: brightest) performance will come from a 3.7V lithium primary, but only use it for short times on the higher levels or Burst, as it can get hot rather quickly. Runtimes will obviously be better with a primary, but it won't have as bright a max level. But that doesn't necessarily mean the output sucks. It's definitely a serviceable and usable amount of light, plenty for a keychain light, and'll give you long runtimes on lower levels. But the light will no longer have the nice "wow" factor the Intelli gives with a li-ion on Burst.
With the CAB extension and a 14500 li-ion you've got a light that's on par with the L1T or Jet-1 on a 14500, but with (IMO) far superior construction. The old Jils were really really nice lights, and the new ones (don't have one yet myself--gotta rectify that) look even nicer.
With the Intelli on a RCR2 you've got a tiny keychain sized light that can replace your big 2 cell Surefire for your EDC. The one disadvantage is of course runtime/battery life, but if you're just running to the Quicky Mart or something and aren't really preparing for "anything", the Intelli is awesome. And it's an awesome backup for your larger lights when you have those.