I've said it a ton here, but while James seems like a good guy away from basketball activities, he's easily the most obnoxious star athlete I've ever seen when it comes to basketball activities. When his team does well, it's because of him, but when they struggle, he points the finger at everyone but himself. He's the exact opposite of what a leader is supposed to be. He's been absolutely carried by other players at times, yet still gladly took all the credit for his team's success. Unbelievably talented player, but nowhere near as good historically as he - or many in the media - thinks he is.
Just the fact that he said "I" in the quote in the OP says all you need to know about him as a teammate. I'd have no problem if he said that about his team, as a lot of players and teams feel the same way. But to make it all about himself wreaks of insecurity and selfishness.