Also, why are you reading Rhythm Magazine? Modern Drummer is superior...
And, I've mentioned this before on a another thread where Barker's name came up, but I'll reiterate:
I feel as though Travis Barker is forever stuck between people who adore him and think he's the greatest and people who hate think him and think he is worse than Hitler.
I, personally think he's a fine drummer. He's an accomplished player capable of playing fast pop-punk beats (hear come the prog-snob groans) and remaining very musical. However, in no way do I consider him "one of the best", but when it comes to his genre, he's a pretty damn good player.
Now, fans of blink 182 and Travis's other projects seem to always believe "HE IS THE GREATEST BECAUSE HE PLAYS FAST SNARE ROLLS!!!!" Obviously, that doesn't make someone great. I can't take these people seriously when it comes to musical taste, simply because their views on music are very linear and they are stuck in the "popular music comfort zone".
Now, guys like the OP think exactly the opposite. They see absolutely no talent in Barker's playing because they group him with a radio-friendly genre and think "Well, his songs get played on the radio, so he can't be good", or something along those lines. These are also people whom I can't take seriously (and lets be honest, there are several people on this forum who are like this) because they dont come out of their "unpopular music comfort zone" and are so fucking pretentious that they dont want to give top 40 songs a try.
I'm not sure why Travis Barker always seems to be in the centre of all of these debates. My theory is that fans of Barker and haters of Barker are sort of like two sides to a democratic government. The fans of Barker represent the side that is in power, and the Barker-haters represent the opposition. So, the opposition tends to feel smarter when they pick on the Barker lovers, simply because that's the cool stuck-up thing to do. They need someone to hate, so they hate on the popular guy. And in terms of pop music idols, Travis Barker is at the top of that pile, so anti-Barker snobs take shots at him.
Again, I'm in the tiny percentage who neither thinks hes amazing nor thinks he's the worst. He's a fine musician who deserves to be mentioned when it comes to "top drummers" but I would never put him above a good chunk of drummers (including some that the OP mentioned).