Based on a 1957 Ken Purdy quote, first mentioned in a posthumously published interview with Alfonso de Portago: note: :“I have a quotation in a story, a piece of fiction that won't be published until this summer,” I told Portago, “something that I thought at the time I wrote it you might have said: that of all sports, only bull fighting and mountain-climbing and motor-racing really tried a man, that all the rest are mere recreations. Would you have said that?”
I tend to agree with Hemingway who said something to the effect that only mountain climbing, bull fighting and automobile racing were sports and that everything else was a game.
Source: Ken W. Purdy (August 1957) "Portaro; The real story of the sizzling Spaniard" https://archive.org/details/sim_car-and-driver_1957-08_3/page/n70 Sports Cars Illustrated (Ziff-Davis: New York) vol. 3 no. 2 p. 63 note: :“There are three sports that try a man,” she remembered Helmut Ovden saying, “bullfighting, motor racing, mountain climbing. All the rest are recreations.”
Source: Ken W. Purdy (27 July 1957) "Blood Sport" https://archive.org/details/sim_saturday-evening-post_1957-07-27_230_4/page/92 The Saturday Evening Post (Curtis: Philadelphia) vol. 230 no. 4 p. 92
Source: An early attribution to Hemingway is the essay "Why" by Gene Hill, published in Guns & Ammo and reprinted in 1972 in A Hunter's Fireside Book: Tales of Dogs, Ducks, Birds and Guns (Winchester Press: New York) ISBN 0876910762 p. 96