I'm not sure that Paul outplayed Lebron.
Point totals:
Lebron: 12, 21, 21, 21, 35, 32, 45
Paul: 4, 19, 14, 13, 29, 16, 41
Assist totals:
Lebron: 9, 6, 8, 13, 5, 6, 6
Paul: 4, 2, 5, 3, 3, 3, 5
Rebound totals:
Lebron: 9, 5, 5, 6, 3, 12, 5
Paul: 5, 6, 3, 5, 7, 5, 4
Shooting totals:
Lebron: 2-for-18, 6-for-24, 5-for-16, 7-for-20, 12-for-25, 9-for-23, 14-for-29
Paul: 2-for-14, 7-for-13, 3-for-8, 6-for-17, 8-for-19, 5-for-15, 13-for-23
Overall, then, you see that Lebron outscored and out-assisted Paul in every game, and outrebounded him in five of them. Overall, Lebron shot 35.5% for the series, while Paul shot 40.4%. That's not such a difference to negate the other contributions Lebron made.