Huh, I had no idea that cables would have their shield grounded at both ends... Single point ground is such a standard in electrical design that the guidance is generally "do otherwise only if you have the ability to make many prototypes to nail RFI issues".
If you're building an audio cable your signal will peak out at a few kHz, so the cable acting as an antenna and picking up a signal in the MHz range isn't an issue. Similarly, you're not transmitting anything significant either. But a ground loop can easily ruin your day.
If you're building a cable for multi-gbps data transmission, that ground loop noise might as well not exist - it's basically DC. But ground your shielding at only one end, and suddenly you're ruining everyone's wifi!
Building a device which needs high-speed data on one side, and analog audio on the other side? Good luck...
