Good news, thanks very much, but by excluding controllers with 0 axis you are ignoring:
Infrared remotes
'Media' Keyboards.
Retro button only controllers.
Some crazy homebrew device, okay the original Amiga 'joystick' was a meditation device with an axis or two.
I'm just thinking that LWJGL might be used in situations, such as mediacenter or perhap a set-top box, where an axis might not be present, but buttons are.