They both became the "primary" player around the same time. Wade became the franchise as a rookie in 2004. Kobe became the franchise player as an "8 year vet" in 2005 after Shaq's departure. Well lets see how they done.

Dwyane Wade:
In 2004, Wade led The Heat to a 42-40 record and advanced to the 2nd Rd of the playoffs.

In 2005, Wade led The Heat to a 59-23 (1st Seed) record and advanced to the ECF.

In 2006, Wade led The Heat to a 52-30 record and handed The Heat their first NBA Championship. He was Finals MVP, he broke & set records in the NBA Finals, he became the 3rd guy under age 25 to have "multiple" 40 point games in The NBA Finals, he became the 5th NBA player in history to become Sports Illstrated Sportsman of the Year, and he achieved 2006 ESPY's Best NBA Player Honor.

In 2007, Wade suffered a shoulder injury causing him to miss 31 games. The Heat's record was 44-38 and they got put out the 1st Rd of the playoffs.

In 2008, Wade tried coming back but wasn't 100%. He realized it so he end up missing another 31 games. The Heat's record was 15-67.

Kobe Bryant:
In 2005, Kobe led a team with almost the same supporting cast (Odom, Butler, & Grant) that Wade had in 2004 to a 34-48 record and missed the playoffs.

In 2006, Kobe led The Lakers to a 45-37 record and got put out the 1st Rd of the playoffs.

In 2007, Kobe led The Lakers to a 42-40 record and got put out the 1st Rd of the playoffs.

In 2008, The Lakers made a "BIG TRADE". They acquired another "FRANCHISE PLAYER" (Pau Gasol) that once led his team to a 50 win season (in 2004). Gasol was able to lead The Grizzlies to the playoffs in 2005, 2005 is the same season that Kobe failed to lead The Lakers to the playoffs...and to get Gasol the Lakers gave up nothing (Kwame Brown). Anyways, after acquiring another franchise player that did better then Kobe when they were apart, The Lakers end up with a 57-25 record, Kobe was "given" his 1st League MVP after 12 seasons, they reached The NBA Finals but lost badly, & Kobe played a crappy serious.

Wade is "CLEARLY" better at leading a team. His down fall was a "SERIOUS INJURY". Kobe's down fall is that he's a "SHOT JACKER" and isn't really all that good. As the primary player Wade won a championship, Finals MVP, & etc. What has Kobe done as the primary player? "NOTHING"!

Wade > Kobe
MC

Kobe Bryant:
In 2005, Kobe led a team with almost the same supporting cast (Odom, Butler, & Grant) that Wade had in 2004 to a 34-48 record and missed the playoffs.

LMAO
Dwyane Wade:
In 2004, Wade led The Heat to a 42-40 record and advanced to the 2nd Rd of the playoffs.