I don't think many of those that were hoping for a co-op game (as was originally announced but is now less certain with the announcement) have a problem with competative gaming. Most gamers like a mix of style of games. As I have said in other threads , I personally feel co-op fits the setting better, as Star Wars is about the heroes overcoming the villains (while a major element of the Song of Fire and Ice series is about the various powers struggling against each other, so makes a competative game much more fitting for the setting. Warhammer is entirely a setting designed for battles of various factions against each other, so a co-operative game would make little sense). It shares much with LotR, which is about heroes going on quests and overcoming adversity in an attempt to defeat evil.
I personally find co-op games easier to just break out with a group of mates, some of whom really are not gamers. Competative games are much more advesarial (understandably) and I need to be in a certain mood, while a game where we are working together fits more naturally with having people round for a friendly evening. They are more approachable, as new players, particularly non-gamers, are not in a position where they are essentially being taken advantage of (I really don't like winning in my first game against a new player... I feel it can be a bit of a crushing experience, but then if I feel I am going easy on them I feel if I am just patronising them).
Now this doesn't mean I don't like competative games. I play them a lot, and one of my favourite boardgames is Combat Commander, a wargame which is entirely about using what advantage you have to crush the opposition. I just find them less suitable for a relaxed evening with mates. With a friend who has come round specially, yeah. At the board game club I go to every week, yeah, but generally not on a friendly night with mates (with mixed gaming experience and ability).
At the same time, you mention sports. Yes, most popular sports are competative. Partly to do with what makes exciting watching. Mountain climbing (for example) is slow. Not exactly dramatic tv. If I was going to play a game based on a sport I would expect it to be competative. However, most great stories are about either overcoming adversity or co-operation, even within sports. Most sports films, etc, are not about the sport themselves, and the opposition usually matters little. It is usually about some underdog overcoming the odds, usually by co-operating and so becoming something greater than the whole. To make a game which accurately reflected the feel of a sports film (as seperate from the sport itself) you probably would create a co-operative game.