I don't disagree on any of these points. But the winter games' mandate is to feature sports that are "practiced on snow and ice". Heck, basketball (NBA) is a winter sport but it is in the summer games. Of course, hockey, which like the NBA also plays it's professional season in the winter, is in the winter games.
Your right about that, there are certainly limitless things that could be technically played in any season. If there's no room for a cue sport in the summer then an exception should be made I guess
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