I believe it is the opposite, Lower K = less lumens. As lumens are based upon the human eye, we see less red light, making the lower scale of K (ie red/warm light) less intense.
"...our perception of red light compared to our perception of yellow light of the same radiological intensity makes the red light seem much less bright than the yellow even though they are equally intense."
The Perceptive Efficiency of the Human Eye as a Function of Wavelength


Side tracked a bit though, yes both will be fine.

Goodluck,
phant0m