With most displays, the "Warm 2" preset is usually warmer than 6500K, often approaching 5000K, and usually red/yellow tinted. The "Warm 1" preset is often closer, but tends to be in the 7000-7500K range.
And for that matter, 6500K is not the target6500K can be tinted green or magenta, and still be "6500K". The target is D65, which is a specific white point.
And D65 is not a "pure white" eitherit's blue. D55, or more specifically, Illuminant E
, is truly neutral white.
Every example you have cited for your "6500K is not pure white" post is not a good choice either. Firstly, without actually being calibrated, you do not have a 6500K/D65 reference to look at.
Secondly, t-shirts, copy paper, bedsheets etc. are not
white. Copy/printer paper typically has optical brighteners
, which means it's actually tinted blue. The same applies to modern detergents used on "white" clothing.
Daylight changes colour all the time. It will sometimes hit 6500K, but that depends on the time of day, weather, location etc. I know this because a while back, I actually needed 6500K daylight for camera calibration as I did not have any artificial lighting suitable, and that took an hour or two of taking shots of a GMB ColorChecker every few minutes, and verifying with my i1Pro.
And even if you did not consider a D65 calibrated display to look white, that is the target which content is mastered to, and anything else is wrong.
That being said, I have yet to find someone complain that a D65 calibrated display does not look "white". It's those awful "warm" presets that don't.