Baseball, as you well know, is not basketball or football. Yes, that is, indeed, how words work. Baseball is baseball, and not things-that-are-not-baseball.
But baseball is different than basketball or football for a clear reason: One player cannot carry a team. They can for a game, and occasionally even for a series. But not for a season.
You already know this, because it’s obvious, but let’s turn to an example anyway. Mike Trout, quite arguably the greatest player in MLB history, has played nine seasons. During that time his team has made the playoffs once, and won zero postseason games.