Interesting problem. It looks like the shutters are out of sync with the vertical retrace (assuming the video shows the same visual effect as the scope). Given it is heat related, it could be as simple as a bad contact. I'd start with reseating the connectors on the board with logic in the CRT / display module. IIRC there is also an EPROM on the board. Reseat this as well. Make sure to take ESD precautions.
If that doesn't help, get some freeze spray. This typically helps to find / locate heat related problems.