The earlier (1966-1971) Jakes had a keyed, tapered steering shaft with a nut. I am not sure if any other brand used the same design. Over tightening the nut and/or any amount of rust makes them virtually impossible to remove without damage, even with a puller.
The later tube-frame Jake tractors had a Ross steering gear with a splined shaft like many other makes.
The steering wheels themselves were used on many makes. I am not sure of the company that supplied them but mostly mounting style are the only differences.