If so, then I get no reading (open circuit) from KR to H1 or H2
Then you don't have a heater to cathode short.
Additionally if I turn the red level completely down, the lines remain changing colors.
When you turned the red down, did the washed out red go away as well?
Have you tried turning down the red DRIVE potentiometer?
There should be
two adjustments for red, a DRIVE and a GAIN. (maybe labeled differently on yours)
Try turning those both all the way down.
You should be able to make red disappear completely by turning both of those all the way down.
Do they BOTH make a change in the screen color?
One at a time turn them back up.
One of them (drive if I recall correctly) should remain fairly low. And use the other to adjust to your liking colorwise. One will have a much harsher adjustment scale. (I always get drive and gain confused for some reason myself)