the 2 you listed seem to be same.
but to answer your question, there is some generalities that can be made about the 2 curcuit types that are used.
one that is good for the max 4v (listed as 4.2) and one that is good for the 9v.
but most of the 18650 lights that will take 2x3v batteries ALSO, are the 4-9v style. or the higher voltage driver type.
the lower voltage drivers often fall out of regulation on the high end (boost), the high voltage drivers often fall out of regulation on the low end (buck), WHEN used with a li-ion battery, WHEN the Vf of the led is the usual white high powered led.
I am NOT saying all of them are like this, but a whole load of them are, where your DD at one point or another with the li-ion cells, with slight resistance from the curcuit.
Best to look at the reviews and charts for any of them before purchace, it is likly that any light that will take the 6+v, that is cheap, and will run with a li-ion will fall out of regulation early, and go into a nice declining direct drive similar output. a Buck type of driver
BUT AGAIN, i am not saying that about everything, you asked for wild generalisations, and that generalisation today can often be made, but not always applies.
that usually means that a light that would handle 2x3v batteries will often have a much longer runtime, and a nice declining output when using the 18650, making for a very nice, but barely regulated light, the light can also waste little power when its in direct drive.
are they "multipower" no not usually, they either overdrive or underdrive
they "Work" at that power, so they can be used at that power. only a DC-DC converting buck/boost (both) driver would be fully "multipower" and efficent with multiple input voltages, and very few of them are used or sold comparitivly.
for LED longevity, a person would be better off with the higher voltage drivers, that fall out of regulation at the low end of the li-ion voltage, for high output of light a person would like the low voltage drivers that overdrive when the li-ion is fully charged, the led is getting damaged, but the brightness has the wow factor.