I suppose there is something I am missing, and being an electrical engineer, I am going to be embarrassed if this is something simple, but I can't picture how one would be able to do a continuity check to detect this at all, much less how it would be "trivial".It would be an incredibly boneheaded move if they didn’t implement some sort of continuity check. It should be trivial to detect if a cable is cut.
These are wires that go outward, and each one ends in a pin in the plug head. They are all just one way single wires. They are open circuit to anything else. You could continuity check it, but without anything plugged into the end, it would just read infinite resistance. If the cable gets cut off, they are still wires that are open ended and still don't connect to anything--just shorter. But that wouldn't change the reading of a continuity check.