Yeah... actual colour temperature and spectrum should be measured from the LED itself, not when shone through a transflective LCD, which includes either a bluish or greenish semi transparent layer, as well as two polarizing layers that behave differently at different wavelengths.
It looks like you just wanted a "blue" backlight - which btw reduces the contrast on those older FSTN phone displays, that are designed to have the maximum contrast in the middle of the spectrum (= why they almost always had green backlights). FSTN is better than standard STN, but still won't have a flat response - it will change the colour of your backlight.
A Casio watch will be a simple TN-type LCD (not STN or film corrected STN) and as such will have quite good contrast, but will attenuate both ends of the spectrum, probably the red end a bit more leading to a blu-ish hue with a 5000k white backlight.
I mean, great you've found what you wanted, just that I think you may have been blaming LED specs when in fact you were judging said LED's through several "filters".