My camera can't take good pics (well it's my phone anyway) but I did a comparison between the Modified L1 head and my KL4 head. the simalarities are just incredible. the spill of the Mod L1 is nearly exact to the spill of the KL4 head, the only difference is the hot spot. the L1 head has a much brighter, more defined hotspot while the KL4 has a much broader hot spot that almost blends into the spill.
I've "tested" the Mod L1 with rechargable RCR123's and it works great!!!! and I've used Pila 600s batteries that also works great!
Cy have you tried any of these with your "red" sister of mine? on the LE has engraved 750mA and 3V, I'm assuming that its a BadBoy but I don't know.
enjoy
Doug