Where? I haven't seen one... there are lights that do 1-2 overall aspects better for a keychain light, but they are worse on 3 or 4 other aspects.
Just look at the illuminati you mentioned... first it needs 10440 to reach that mentioned brightness of 115 Lumen.. on Eneloops it's more on the level of a Preon 1 (~70 Lumens I assume).. I might make a citation by selfbuilt here:
"Note that I do not intend to do 10440 Li-ion runtimes in the IlluminaTi, since not officially supported. As always, I discourage use of this battery source in all lights that lack a protection cut-off circuit. And based on the ridiculously bright Max output on 10440 shown above, I strenuously recommend that you do NOT attempt to run this light on Hi on 10440."
OK let's look further
DQG=current controlled, TI=PWM controlled;
DQG= available in different tints (CW,NW); TI = CW only
DQG = available with glow dot or magnet; TI = detachable/reversible clip
Dimensions
DQG
Measured size and weight:
Length: 56.6 mm
Diameter: 12 mm to 12.6 mm
Weight: 25.1 gram with eneloop (12 g officially on CNQ)
TI
Dimensions: Length: 67.6mm / 2.66” - Diameter: 13.7mm / .54” - Weight: 14g / .49oz
runtime 90 min on high (60 Lumen) DQG / runtime on high (~70 Lumen) TI for 54-60 mins
So the DQG is smaller,lighter, more efficient, current controlled, cheaper, has more options than the TI ... hmmm did I forget something? ;-) The Ti is bit brighter than the DQG by roughly 10 Lumens on Eneloops. And no, I will not go into the comparison Eneloop/10440... for that I have my Brinyte PD03A which is reported with LD01 output on NiMH (80 Lumen) and way,way above that with 10440 (130-150 Lumen)... if it doesn't go... poof.... or kaboom.
Just read the reviews from selfbuilt and HKJ (1,2) and tell me if I missed something.