I have a fabric brush that works on that principle, such that I have to take care when using it left-handed instead of right-handed as the direction changes and instead of removing lint from my garment it puts all the accumulated lint back on if I run it the wrong way.
But this is almost certainly not the case with the floppy disk fabric. Virtually every piece of Apple software sold on floppy that needed more than 1 disk side used the flip-side of the disk, making disk-flipping and running the disk "backward" not only common but necessary almost every time you used the computer.
