The 8BitDo Arcade Stick is a fight stick controller is a heavy solidly built USB controller that can be read by the USB-A port on the Quadstick.
Its joystick and buttons follow the same mapping to Quadstick "usb_*" inputs as the DS4. There is only one joystick and it is not analog. The value it produces is either 0% or 100%.
8BitDo Arcade Stick is an example configuration spreadsheet that can be used to base a custom configuration on.