I don't think it would be that competitive, it's not that big of a deal. However, even though is possible answers could be rushed, they would still have to answer the question, since the best answer is marked by answering the question satisfactorily and not by answering it fast. If users decide to reply to questions with useless/mediocre posts, they would be hidden and ultimately punished for it.
Since we can see posts counter, reputation points, and solution counter (while on general support) under our names and the first two are on the leaderboard, why not the last one too? I hope we can see this in the future.