I have read that the LED backlight sensitivity may be due to the color of the LEDs used in the display. There may be other factors involved. Apparently all LED displays are not created equal...
I once heard a eye doctor in an interview say that most modern LCD screens have too much blue than they should or to put it differently the blue is to bright or the color to cold. Apperantly it helps keep awake longer because we have some receptors that respond mostly to the visible part of the blue end of the spectrum and keep us from getting sleepy. But it is unhealthy and not good for the eyes too though I forgot how it actually hurts eyes. I remember the argument went in the direction of too much continous noise also hurts your hearing.
Also there is the simple fact that all white LEDs have an color spectrum that puts out significantly more brightness in the blue spectrum and much less in yellow/green and red. Manufactures therefore prefer cold colors for the simple reason that the screen looks brighter because well it is measrueably brighter if set colder. It is more eye catching in a Best Buy or such.
Warmer tones need to dimm the blue pixels to match them to the generally low output of the red end of the specturm. Screen looks dimmer.
Also it increases contrast and that is what our eyes respond to primarily. We do see colors but compared to contrast color is a rather unimportant information for our visual system. We are rather poor in seen color differences compared to brightness differences which technically wouldn't have to be that way. That is why most people prefer would regard a high contrast but less colorful picture as much sharper and more of better quality than a lower contrast more colorful one.
But that doesn't mean it is healthy, natural or comfortable to sacrifice comfortable color spectrum for higher contrast. Also the contrast difference is rather minimal. Only side to side in a store it is a difference you always notice.
F.Lux is the perfect remedy somebody in this forum posted a link to it first. It lets you easily set the color tone and lowers it automatically at night (based on the hour of the day and the set location). You don't even notice it changing but it is worlds more comfortable imo.
I only like full 6500k if I work outside or in a café. The cold colors fit there and the extra brightness is useful.