It would be super-rare for a cable to "develop resistance". Even if three's only one wire-strand remaining connected, it will have fairly low resistance. And with sufficient voltage-drop (and current) that last remaining strand would probably burn-up and go completely open, or the same mechanical stress that broke the other strands will soon break the last remaining one.
If you've seen this happen once, I'm surprised but I'll believe you. If you seen it happen twice, something else is going on. (I've never seen that happen with any kind of cable, and I'm an old guy with many years of electronics experience.)
Sometimes the wires can break and make intermittent contact or a connector can get flakey (intermittent contact). But in those cases where the cable isn't completely broken, wiggling the cable/connections usually makes it pass/fail.