Yes it could be the cable, but I think it would be a pretty rare failure mode, maybe even a freak. I looked twice to make sure - this IS a CRT monitor. In that case if the chassis has a floating filament supply this could be an HK short in the green gun.
The trailing positive that makes the white after black green also makes the black after white on some of the text magenta, which is minus green. The frequency response of the green is limited, too much capacitance. A standing wave anywhere in the green path could also be at fault as someone already pointed out, but lots of CRTs short out this way.
If so, if I have a print of the vid finals, the CRT soicket board, I can maybe figure out how to EQ the vid output. I have done this more that once. However I did that on NTSC units and I didn't worry about FCC part 15 or anything. Those things only have about five Mhz video bandwidth, this might be different.
There is a way to do this on almost any CRT based monitor, but the question is whether it is worth it or not. The focus isn't really all that bad but it ain't that good either. You have to differentiate that from the smear in the green though, if the green was sharper it would look sharper overall.
Without the print of the CRT socket board, ar at least a sheet on the IC(s) on it, it's about impossible to do anything. In fact that's true even if it's not an HK short.
J