Really fast way to switch between QWERTY and Dvorak

This is called "Dvorak - QWERTY command" on Mac, and it is useful. I have found this a autohotkey script for windows which claims to do what you want, but I haven't tested it.

This also seems to be a dupe of a stackoverflow question, which suggests you can use the Microsoft Keyboard Layout Creator to do it as well.

If you're not afraid of opening the keyboard, you might look inside for a jumper or solder-short which chooses dvorak or qwerty layout.

At least that's what I'd look for.

Their prices are pretty low for a buckling spring keyboard, so I'd hazard a guess that the firmware of the keyboard is a jumper or short on the pc-board inside. Remember everyone wants 'least expensive', so making the firmware flip between two mapping tables would be my guess.

You'd have to pop off all the relevant keys and rearrange them, this is Fun! Especially if you can engage a young child to do the keycap replacements. (I had to pay an outrageous cookie fee though)