I probably like poker more than table tennis but I don't think poker is enough of a sport to be voted for. (Although it is most definitely more of a sport than competitive eating)
This is true. But Competitive Eating isn't a sport, it's just a competition.
Sports, in my mind, involve some sort of physical component, competition and the ability to directly (or at least indirectly) affect your opponents game. Hockey, football, socceer, basketball, Tennis and baseball (and the like) are all clearly sports.
Golf, darts, nearly all olympic events (sprints, shotput, long jump, etc...), poker, eating, fishing, etc... are NOT sports. They're hobbies, competitions or games. When you are just playing against yourself and what your opponents do have no real tangible affect on the outcome of your game, then it is not a sport.