Numbers wise, Chris Paul compares to players like Jerry West, Kobe Bryant, and Oscar Robertson, but the common knock on CP3 is that he never led his team past the second round.
When you compare him to players like the three mentioned, and use the ring argument, it's lazy. West went 1-8 in the finals when the league has like 8 teams. he finally broke through when Russell was old and he had the most staked team in NBA history. CP3 never had that type of team in his career, but some of that is his own doing (see later).
Kobe won 5 rings, and again, all stacked teams, 3 as a clear cut second banana, and 2 as the second banana numbers-wise. If CP3 played with prime Shaq, or the most dominating front line in the league and failed to ring, then the onus is on him, but Blake Griffin and DeAndre Jordan (not to mention Rivers as coach) is no MVPau/Odom/Bynum level of talent. Without that level of talent, Kobe not only didn't get past the 2nd round, he couldn't even get past the 1st.
Finally, the Big O really was the Big O ( les-wise) for most of his career, until he got Kareem, the GOAT before Jordan came along. He was a perennial loser until he got traded to the Bucks. He could lead the Royals anywhere during his prime.
The only player CP3 compares to numbers wise who won rings as the clear cut alpha was Magic. And Magic's teams were staaaaaaacked.
That said, CP3's teams were NOT stacked because of him, yes he hands out a lot of assists, but he dominates the ball all day every day. Stopping him in the playoffs is easy because he just take the ball out of his hands and his team stalls. Rivers should have developed some sort of offense outside of CP3 pounding the ball, such as having Griffin initiate a respectable offense.
Things would be different in Houston. It would be difficult to stop both CP3 and Harden as both of them are excellent in initiating the offense, the only question is whether D'antoni can put things together where both of them would be happy, get their share of touches, and can keep the defense guessing.