I think the problem may be simpler.
So if you've seen the photos, there's the board on the far right with the lone eprom on it. That's the one that's in the socket that was broken in two and that I pieced back together. I decided to check to make sure voltages were all good. On the EPROM they are, and I can see data hitting the inputs of it when the 6800 is sending data. I do not see anything leaving, although the outputs are all pulled low and I don't know what is required to overcome that - ie if there are conditions the board needs before the EPROM is actually used.
I believe this board is the cursor control board. When I remove it, not only does the cursor disappear, but the 6800 cannot send any data to the screen.
Anyway, I decided to check all voltages on all chips, and I found one discrepancy. The topmost 74193 has +5V at pin 16, like I suspect it should. But the bottom two don't. One has 0.8V, the other 0.1V. So I looked at the back of the board. Here's a pic:
https://drive.google.com/file/d/14WMUXm8sxoPDK76SGcWXKymyCDJ15yPM/view?usp=sharing
There are two rails that run beneath these ICs - one appears to have been utilized for +5V. You can see up top there is a dab of solder on that rail, and one on pin 16. I've tested continuity and there is no resistance there. That is the IC that gets +5V. Further down, though, not so much. While I could get continuity between the rail and the second 74193 IC 1 pin 16, there's much less continuity between IC 2 Pin 16 and IC 1 pin 16. It's even worse for IC 3, which doesn't seem to have any continuity between the rail and its pin 16.
Now, I note from the datasheet that the voltages for these can be varied. I'm wondering, would it be by design that these are shut off? Or is it more than likely just rust, broken solder, etc. I note the actual trace between the 5V rail and pin 16, if that's what it is, is tiny. I'm wondering if I should just patch these. Since these are counter ICs, and if they are involved with cursor movement, I wonder if having two of them disabled is causing data to be put in the wrong place on screen.