In reply to SenzuBean:
The rope seemed to be fairly standard rope when I cut through it, although I am certain there are specific thickness, stiffness and friction requirements. I would say it was softer and more flexible than most climbing ropes.
The double thickness webbing seems to be the construction of the Y lanyard - it consists of a length of tape that has been dubled back on itself and sewn for the full length so there is no specific weak spot where the carabiners connect. Not that I would expect a genuine weak spot in another design given the high quality of stitching you normally get in climbing kit.
The issue causing kits to be recalled was a failure due to using a stretchy tape which had elastic fibers alongside the nylon warp fibers. The elastic abraded the nylon warp and made it weak. These days most of them seem to use bog standard tubular tape with elastic running up the middle instead, which is heavier but much safer. Zyper-Y predates such fancy features anyway.
I am currently thinking that chucking the plate away and giving away the carabiners might be the best bet.