I don't know about those lights, but I can tell you what happened with my T2.
I put 2x 3.7V rcr123's in it and when i press the tailcap, it flashes for a moment everytime (milliseconds, literally a flash) and goes black again. I put the primarie sback in and WHOA its bright. With 3.0V RCR123 (actually seem to put out about 3.6V when not under load) in it, it is BRIGHT. Comparable, maybe slight brighter than my new VB-16 (hard to tell b/c of different beam patterns), brighter than either of my Jetbeam lights (mk1 & mk2), brighter than either of my Luxogen LR5's (One stock, one flupic modded).
I probably fried the circuitry, but to be honest....I don't care. The LED was blue before, but now has a more blueish tint...So it is probably overdriving the crap out of it, but I don't really care. I bought it to be a mod host, but after 'breaking it' ( i think ), i don't really know how much brighter i could realistically make it...So i'll just use it like this until it dies.
In short: I don't know fore sure, but my guess would be if you want the great regulation and runtime, don't even think about putting rechargeables in.
P.S....It's bright! If i get time later, i'll post up a beamshot compared to the VB-16 or Jetbeam.