From what I understand, electrically the k7000A is the same as a K7000 except for the flyback and the giant capacitor attached to the high voltage lead wire. So you should be able to trouble shoot it using the k7000 schematics and flow charts.
How is it that you got 50 of these chassis in a row? I've been repairing game monitors for over 30 years and I've only encountered 3 of these 19 inch k7000A chassis.
If you have a high voltage test probe and are aware of proper safety procedures in using it, measure the high voltage going to the tube. It should be around 19,000 volts. If it's above 21,000 volts then that's too high for a 13 inch tube and the safety shutdown circuit is activating.
It's possible capacitor C57 might be bad. Have the electrolytic capacitors been replaced? The B+ power regulator might be bad so it's worth checking that too.