Well, no, Pierce hasn't been able to carry teams the same way Kobe has at times, because he's simply not as good as Kobe.
That said, without Shaq and then Pau the Lakers would not have won any championships in the last decade. Kobe has carried his team farther into the playoffs by himself than Paul ever really did, but he's never won a championship by himself. When Kobe retires, the Lakers might still be relevant if they still have Pau and Bynum. Without Paul and the rest of the Big 3, the Celtics will be dog meat.
All of this is to say that I kind of get what the person is saying, but I think he's way overstating it and giving Kobe far too much credit and Paul too little. That's not at all surprising given it's a Lakers fan talking. Many Lakers (Kobe) fans seriously think he's potentially as good as MJ. In other words, they are delusional.
Paul made the CF as the main player. Kobe never won a play-off series by putting a team on his back.
Kobe was the main player on 2 title winning teams, and a third that made the Finals. The Lakers have won several series' with him putting them on his back.
I've never understood why Pau is mentioned in the same breath with Shaq. Shaq is an all-time great player who was in his prime when he joined the Lakers. Pau was considered a very solid player in Memphis, but was ultimately a one time all-star in six seasons, and was never considered amongst the elite big men in the game until he put a Laker uniform on.
Very few players have ever won a title without an elite 2nd banana next to them. Where does Gasol rank amongst the following guys who were the 2nd best player on their team?
-Paul Pierce (2008)
-Manu Ginobili (2003, 2005, 2007)...2003's debatable
-Shaquille O'Neal (2006) (it could be argued it's Wade, but the point remains)
-2004 Pistons...hard to distinguish who the 2nd best player here was, as that team had 4 all-star caliber players.
-Kobe Bryant (2000-02 Lakers)
-David Robinson (1999)
-Scottie Pippen (1991-93, 1996-98)
-Clyde Drexler (1995)
-Robert Horry? (1994)...could be a number of guys here.
-1980's (Kareem, McHale, Magic, Dr. J, etc.)
Gasol's one of the weaker #2 guys on a championship winning team in the last 30 years, and yet somehow his presence is a mark against Kobe? It's strange to me.