I heard something on the radio yesterday that puts a different spin on thinking that hunting or fishing are sports. It went something like "Whatever you are trying to catch does not know that it's participating, so it can't be considered a sport." We got a chuckle from it.
I do both and I consider hunting a sport. Fishing, unless you are deep sea fishing, is more or less a leisure activity. I guarantee that anyone who decided to come climb these mtns with me, would consider it a sport. Also, I would completely argue with the idea that game animals don't know they are participating. Why else would they try and get away?