Haven't had a moment to watch the video, but the 1071 is a great meter. Mine lacks the GPIB interface, which I plan to add at some point. A ROM dump from the GPIB board would be appreciated!
Regarding the display--I have a 1062 with the same fault. Unfortunately, I could never undo the cathode poisoning. There's very good info in the service manual regarding the display workings and a retrofit with a modern alternative should be doable, however, I haven't attempted. Alternatively, there are NOS and salvage Panaplex displays on ebay. They're not the purpose made datron units, but should be a serviceable replacement.
Theres a very slight chance that the issue is not with the display itself, but with the PS or driver board. Check the caps if you haven't.