Looks to me like the board at the neck of the CRT is getting it's ground (or earth) from the chasis. I can't really see where exactly the black wire is connected but that's what it looks like. Those wires are usually there to match ground potentials with all the boards for the monitor. My guess is, since the PCB was mounted in an awkward place, they couldn't ground it with the mounting screws as they usually do so they had to run that ground wire.
But, again, that's all speculation.