That's ok, and besides, I don't view your information as contradictory, it's just that you've had to do this and I haven't. I would add the word "yet" but I'm unlikely to encounter this type of mechanism again as I'm close to brainwashing all of the students into buying and using older, more sensibly designed cars so that's a treat I'll just have to forego.
I've had the broken welds to deal with on frames from half a dozen or thereabouts, all bar one were MK3 Golfs, the other was a mid '90s Nissan, can't recall which model so in a sense, I've been lucky but here's a thought (

):
Supposing the cable twists when the tension is lost, say for example when one of the corner pulleys falls off. I always thought that the cable wasn't happy about being replaced after welding had been carried out on a frame, didn't feel right somehow and had minor kinks on some runs, so is it perhaps possible that when the cables have been off their pulleys, so losing their tension and turning themselves instantly and spectacularly into a bird's nest of a thing, the tension is impossible to replicate unless using new cables when the frames are repaired. That being the case, the ones I've fixed at various times would probably still be fine in terms of the frames but the cables may well have frayed as a result of the original frame injury, a bit like replacing the cat gut between the weights and the ratchet hubs in a long case clock? I had that to do and obviously didn't fancy gutting a cat so had the idea of using brass wire instead (I know, I know, but I didn't train on clocks and Subarus run on petrol, not gravity

).
It works, my clock runs fine but of course that wire, because it had already seen a tour of duty under far greater tension in another application, now has slight kinks and bends in it that look awful if anyone opens the door when the weights are down in the case.
Well it made sense as I was writing it.
