Never mind. I tried to take the connector apart and swap some of the wires, but it was so fiddly I lost my temper and the cable suffered a fate worse than death.
I'm going to get a PC floppy cable with the twist and crimp a male connector just after the twist, making a very short M-F floppy cable with a twist in it. This will then function as an adapter so a new, non-mutilated rounded floppy cable will work on the Amiga.
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moto