You're right about the "white light" LEDs as well as in your comment about the amount of watching artificial blue light sources. Actually, now that I think about it, reviews praising smart phones, tablets and laptops for their brightness in daylight conditions suddenly got an alarming side tone. People staring at a handheld monitor outside on a sunny day must get more than their share of blue light.
Again, as I've said before, your eyes can measure the amount of blue light pretty well until they get accustomed to the bluer lighting conditions. As long as you have something to compare with like looking out of the window and back into your lit room you can tell differences in the colour temperature.
LED lighting has gone a long way from the very blue dim ones to the current options. A similar progression could be seen in fluorescent tubes several years earlier. Not knowing your age I can't guess if you're familiar with the industrial tubes used in warehouses. They really made your eyes hurt with their bright blue-ish white light! The good old light bulbs with a glowing filament has by nature the warmest colour, similar to candlelight.
Saving energy and resources is undoubtedly a good thing. In my opinion the energy saving fluorescent bulbs were an unnecessary side step from filaments to LEDs, but LED technology wasn't mature enough when they cancelled the production of light bulbs. The only ones that benefited from the energy saving lamps were their manufacturers, they mostly didn't last as long as promised and they have to be disposed in a hazardous waste facility.
There's two ways to change the colour temperature of a lamp. The simple one is to dip the lamp into dye, in the case of reducing blue light the dye should be yellowish. That's a perfectly working option. However, as you can imagine, any layer of colour will reduce efficiency, thus adding to power usage for a desired luminance. So, obviously the better way is to make the light sources produce the desired colour by nature. Fortunately for both our eyes and natural resources the LEDs have started reaching that point.