Neither luminous efficacy or efficiency (efficiency is weighed efficacy) is so important. If you think it is, get a green emitter (example) and enjoy. Spectral power distribution accuracy matters, though, at least if you want things to look how they look under sunlight or blackbody radiator light.
Here is the LED section at the Convoy flashlight store.
The LH351D emitter is a popular choice now and available in CRI90 spec, its die size is similar to that of XP-L or XM-L emitters so it is in the same league throw wise, nice for indoor use.
CCT/temperature wise you ideally need to choose something around 6500K to get that additional efficiency you aim for:
I usually prefer to choose warmer CCTs so not my cup of tea, but its your choice.
What hurts the math energy efficiency wise is having to go with linear drivers, which burn excess voltage and power as heat. A buck driver is a better choice, but options are limited in this regard and too are gains also with certain questionable driver choices. So won't say anything else.