As you can see from the chart above, lm/W varies depending on how hard the LEDs are driven. Unless a flashlight only has a single mode, the dimmer mode will usually be more efficient, with higher lm/W.

“Photopic luminous efficacy of radiation has a maximum possible value of 683 lm/W, for the case of monochromatic light at a wavelength of approximately 555 nm (green).”
https://en.wikipedia.org/wiki/Luminous_efficacy

Lumens are defined as visible light, and the human eye is most sensitive to green light. In theory, a green-only LED will be much more efficient than a high CRI white light.

Useful advice cannot be given until we know more. What is he trying to achieve? How much light does he need? I assume 1 lumen of green light at a very high lm/W isn’t the goal.