BEC = battery eliminator circuit, it's a buck-converter that takes a higher voltage and outputs a lower voltage, with fairly high efficiency. The term "BEC" is mostly used in the RC hobby circles, and most BECs are made for quadcopters and other RC vehicles.
(Which is advantageous for us, as quadcopter BECs are small and light.)
I'll have to do some experimentation with running my blade at 2.5-4 volts, because if it works it would certainly be a lot more efficient, but I'm not sure if the PL9823s are as forgiving as real WS2812Bs.
I've always assumed that neopixel style devices have linear regulators configured as constant current drives in them (one for each LED), but those usually drop about a volt or two. If you can drive neopixels as 2.5 volts, that either indicates that the LEDs have a very low forward voltage, or the regulators don't work the way I expect them to.