@stevencason Agreed. A floating shield is usually totally floating ie. not grounded at either end (just a terminolgy/interpretation thing I guess), and in this case I can’t see why direction of installation would matter.
A single-end-grounded cable might sound different if installed a different way round because of where any RFI noise picked up by the shield drains to. To my mind and in my experience, this is the only directionality which matters. I’ve never understood or experienced directionality in the conductors themselves.