I voted for joystick since it was what we used to play Amiga games. It is the authentic input for Amiga games, along with mouse.
Gamepads/joypads/control pads (whatever you want to call them) were a console thing, not an Amiga thing.
Perhaps in the Amigas twilight years developers devised games utilising pads, when they attempted to emulate console platformers and beat 'em ups, but I stopped playing Amiga before that time.
I remember using a stick for Speedball 2, Xenon 2, Rainbow Islands and Chaos Engine, and to use a pad for those games would be the height of absurdity, IMNSHO.