There are sports and there are games. Poker is a game, not a sport. I'd say darts is a game not a sport. Golf might even be a game, but that's a little tougher call.
Pro wrestling is not a sport, and that really shouldn't even be a question. It is entertainment that uses a sport as its vehicle (like We Are Marshall).
Honestly, though, I can't think of any situation that it would matter other than for mindless conversation. If it is a competetion, I like it. I'll watch it. I'll wish I could compete in it. Whether it is football, football, darts, curling, fishing, poker, or racewalking, if I have imagined myself winning at it, then it's all good to me.