Good idea.
Gonna pay my former boss another visit after Christmas. I'm sure he can work something out. He's got plenty of floppy drives and quite a few ATA to USB adaptors.
You could try this, but I suspect it won't work.
USB floppies (I suspect) are treated like Mass USB storage devices. I *suspect* that the USB drive gets mounted on the OS (Windows, etc.) as if it were just a generic USB storage device, and inside the drive there is some sort of hardware translator so that the drive's contents can be read and present to the OS (i.e. windows) is if it came off a USB mass storage device (i.e. a flash drive).
Because of this I'm guessing the software that runs accomplishes this dual-floppy hardware trick won't work with USB floppy drives.
When computers had internal floppy drives, the BIOS "knew" how to directly control the floppy drive. I suspect the floppy trick to read Amiga disks on a PC equipped with two PC drives needs these sort of internal BIOS instructions and the on-the-motherboard board floppy controller circuitry.
I'm guessing you will need a real PC that supports floppy drives in the BIOS and has a floppy connector on-board for this trick.
Still, might be worth a try. Let us know if it works.
Anyways. I've just plopped in another stack of floppies and neither worked. The disk would be read for 3 seconds upon which the aforementioned message would pop up.
When you say you plopped in another stack of floppies - you DO mean a set of Amiga formatted floppies, right? A set of new, blank, unformatted floppies or PC formatted floppies of course won't be recognized. Sorry to be pedantic, but I just want to be clear on that issue.
As for re-greasing the rails and worm screw of the floppy. That's a good idea and would certainly be one of the first things I would try.