It's a simple idea: you can put a floppy disk in one of the peripheral slots on your neural implant and it will basically wrap it as a disk drive peripheral. You could even right-click a disk in your hand with a neural implant attached and it would automatically throw it in a slot.

I'm not sure. I think the neural interface can already do more than enough. A neural interface is equivalent to a pocket computer with the peripherals it can mount, and it uses the same code. Doing this would either incur new NI implementation, or some kind of disk drive support for pocket computers too. So this rules out any GUI-based solution.

Disk drives aren't exactly trivial peripherals state-wise; their interactions have a number of side effects. And they don't just mount floppy disks. What do you do about pocket computers, other neural interfaces, and any other modded media? These items already have their own right-click behavior.