Sounds fair to me.
Exactly!
The original concept of "sport" was a contest where there was some mortal risk involved,such as jousting or hunting of potential man-eaters with just a bow and arrow.
Hence Hemingway's quote "there are only three sports, Motor racing, bull fighting and mountaineering - everything else is just a game".
I don't think "sport" must involve a risk of life to be classified as such. Just a certain level of skill and difficulty should suffice. 'Course, I do note that they are called "game" animals. OTOH, sports such as tennis are not usually considered as being to the death.
AND! Hemingway never turned around in the woods/forest/river and had a _________?(U fill in the blank) looking him as though he was gonna be lunch.