Pretty sure they all do qualify as professionals. You are just trying to slide out from under your lack of research and doing the usual fan thing of jumping to conclusions and assumptions. Not to mention refusing to admit to a serious lack of sports knowledge.
Surely you know PRO is short for professional ... correct?! So you may question Babe Didrikson Zaharias who dominated the Women's Professional Golf Association and later the
Ladies Professional Golf Association, of which she was a founding member. So what about Cumberland Willis Posey, Jr. who was an American baseball player, manager, and team owner in the Negro leagues, as well as a professional basketball player and team owner. So next point of ignorance is Cesare Rubini who was an Italian professional basketball player and coach, and a water polo player. He was considered to be one of the greatest European basketball coaches of all time.
You are welcome for me doing your research and educating you.