I'm not sure why a couple more rings changes anything for Kobe. Should Robert Horry enter into the discussion? Don't think so?
To me Russell gets in for establishing the importance of unselfish, all-around team play as the means of his success, not the success alone. Kobe has seldomly sacrificed anything, and to what extent he did with Shaq, he bitched about it to the point that Shaq had to be traded. He falls into selfish mode too easily for me to consider him, unlike Lebron, who already comes out ahead of him for his overall versatility and playing for his teammates as much as with his teammates in the fashion of all the others seen as automatic.