Any colour can be warm or cool. If you compare two yellows together one will be warmer than the other, and the other cooler. Same with green. Colour temperature is entirely dependent on which other colour you’re comparing it to.
Thanks for this demo! Your color grids made me sad (I didn't see the difference between blue-violet strips and half of red-green variations), but I'm used to this feeling when mixing color. I'm color blind (confusing half-saturated red/green, gray/pink, violet/blue, brown/green, orange/green, etc), yet I try to paint landscapes in a realistic style (what a stupid thing to do). So I don't really know exactly what I mixed, even though I know color wheel and compliments and try to follow these mixing rules. But your words made me feel better - it's very important for me to know that value & temperature is enough and hue is not that critical for normal people. The biggest problem for me is a chroma of those colors I don't see well. I can easily mix too garish green and not notice until I'm told so, yet I want to respect muted colors as old masters did and add vibrant colors in focal point only. I fight wrong chroma with constant saturation checks via phone camera color picker (cheater). Otherwise I guess this hue shifting would happen naturally to me if I loosen up and maybe it would be my benefit, even, comparing to normal artists. Anyway I've heard about intentional hue variations before and try to include it in my paintings for some time, even though I don't see them. Thanks for your reminder about hue and temperature variations!