The hottest stars radiate blue light and the coolest radiate red.
Although blue is considered cold light, blue has a higher temperature.
Remember your lighter's flame.
You see blue and you can think it's cold. But will you touch it? :D
On the other hand, warm light is reddish but it has low temperature in fact.
Well... this may sound confusing.
But it's all real and it's all about (your) perception.
Warm and Cool in lighting always refer to subjective experiences.
So you may never jump to conclusions until you feel it with all senses from all angles and distances... Until you know.
What's really important?
Heat provides light. Than light provides heat. Than heat provides light...
Who is the first in this game?
And do plants grow better in cold light room or warm dark room?
Just feel and know.