Itsa_Me_Mario
¯\_(o_o)_/¯
OK, CIE 1976. That's a reasonable choice (although there are more recent, more accurate standards). You'd be surprised how many other definitions, many home made, get used.
Anyway, now we can be certain. If the LG phone has a delta-E of 1.65 at the white point, it has very very accurate colour reproduction (at least, for pure white). The fact that other phones were even more accurate is really a wonderful testament to the quality of smart phone displays today. If these tests are actually correct, a typical human would not be able to tell the difference between the original image and the image when reproduced on any of the phones!
Hence why I am stating that the LCD vs LED display difference is not the driving factor behind why the OP thinks that images, etc. look wrong. Both types of displays are capable of being calibrated to incredibly accurate levels and two devices that are calibrated perfectly or relatively the same to each other are going to look identical in color/white reproduction, etc.