The scale used to measure colour temperature — or more precisely
energy levels — is the Kelvin scale. OTH, the scale used to appreciate
colours tones is artistic, read cultural, at human scale.
When art was describing colour tones, there were no measuring scales
to use and lord Kelvin was not yet born. In art, warmer tones refer to
the human experience associating the "warmer" colours of fire and the
heat radiating from it and blue to cold. So red is artistically warmer than
blue… technically, it is the other way around.
In the visual spectrum, from red to violet, the warmer tones are seen
at the lower part of it and the colder ones like violet at the higher end.
The same visual spectrum is an integrated part of the Kelvin scale and
is a very narrow band in it.
Reds are measured as cold in K temperature in the visible spectrum,
they extend to so called infra red and are felt as hot by the skin. The
higher end — from blue to violet — are warmer on that scale though
artistidally described as cooler.
Photography apps have a problem: "How to set up the WB slider direction?"
Measure (in K) and expression (in art) are going in different directions.
The dilemma was solved with using the Kelvin scale — from left cold to right
warm — for precise references — and the art definition or description of what
warmer tones are — from cold to warm. Confusing.