Matt from Batteryjunction posted in a thread that the M31 was brighter, if that helps any.
As for primaries, most professionals use primaries only. Some LEOs use Li-Ion or other rechargeables as they know their shift will end and they will get to recharge. For SAR, you can be out there for a LONG time, and after you've drained your rechargeables, then what? They don't want to throw them away after they're drained (too expensive), and keeping many on you is added weight for some long search missions. Primaries are disposable and easy. We tend to lose sight that some of these lights aren't aimed primarily at CPFers, but actually at professionals who often don't use Li-Ions.
I think it would've been better if Olight designed the circuit and package to offer more flexibility to take both primaries and Li-Ions, but they probably see the need for it considering the intended market for this light.