i think LeBron is even a different story then Bias, i think i am not the biggest LeBron fan but he was clearly the best of his draft class and is probadly the best individual currently in the NBA. And yes he wasn't that good in the final, but overall he was pretty strong in the playoffs, and not just this year(he achieved quite a lot for the Cavs with a relative weak team around him, Miami wasn't that bad either and he wasn't choking against Boston and Chicago).
I believe putting him already in the looser category would be wrong, and could mislead like putting Nowitzky into it(who is one of four players who average 25+points and then Rebounds, already at the time he got this stamp) and even Michael Jordan was considered to be to egomaniac to win a title in his first years he played. But yes i wouldn't put Lebron in MJ shoes, because it isn't that clear that he even is the best of his team(but i believe we had another thread for this discussion).
So personal i would rank:
Bias < james < MJ
to make it fit to this thread, and all those comparision are quite clear for me.