When you do a grey scale using grey scale bars (8 to 9 bars of grey or color bars still work) with color knob all the way down, it is neutral color temp. Slight adjustment of red and green slightly warms the temp while still in the grey scale. Wrong set blue settings, kills the warmth. So I get neutral greyscale first then, warm it slightly. When color knob is reset to just right you might see some warmth.
When I was in TV repair shop, I adjust all RGB with tone midway, contrast midway, brightness midway, and color off with customer settings reset to defaults, with video input of grey scale test image. The key is white is not blown out (too up keyed aka too much brightness and any of rgb brightness also,) and perfect black in black bar. I end up with prefect picture quality. Not too hot nor look wrong. Note I use internal red, blue and green adjustment or service menu to obtain the neutral grey scale.
Aged CRT will get you nowhere as when you get it right, the color trails off like over-bright comet tails or for example, the red get too bright and loses detail. Also raster lines comes up too is another sign. Game over.
Cheers,
Great Northern aka Canada.