No, of course it was Osama Bin Laden who moved the strings of the puppets. He is the one to profit most from the capture of Saddam:
(1), the joy of the Americans about Saddam's capture will make them less attentive in Afghanistan and will makes his moving about easier.
(2), Saddam on the run for much longer could have threatened his number 1 position as a hero in the world of potential fighters for the cause of fundamentalist Islam.
(3), he wants Bush to win in 2004, for a president Bush is better for his own interests than Dean, for Bush as the evil incarnate from Osama's point of view is able to draw more fighters to Osama's ranks.

For these three reasons and, perhaps, a personal spite, he tipped off the Americans about Saddam's whereabouts knowing that the timing would be perfect for Bush's ratings (adding to the Baghdad trip; and who do you think ordered the Iraqui fighters to keep quiet on that day and not to fire any rockets??) and would prevent Dean being on Newsweek's cover.

That's why.

Wolfgang