If you plug those TLE5010 sensors to an arduino or teensy board, you can use MMJoy2 to make a USB controller of your own. With this you can utilize the whole 360° of the sensor. Well, minus a few degrees where it can be confused by the polarity change of the magnet.
But if you’re thinking of using existing hardware and software from a scrapped joystick, there may be other limitations.
Bill Of Material.
A list of the materials used.