Does Anthropic Theory really prove that the universe must have had an author?

As physicists explored the universe, they were amazed to find a series of natural constants that are fundamental to the existence of the universe as we know it, and indeed of intelligent life within it. For instance, Planck’s Constant is 6.62606896(33) x 10 to the minus 34th power J•s. That is a very, very small number. But all things remaining fixed, if you changed Planck’s Constant by even a tiny bit, the nuclear reactions that created stars would never have occurred. Without stars to forge heavier elements than hydrogen and helium in their nuclear reactions, there would never have been rocky planets, or carbon, or life in any form remotely like ours. The same is true for the mass of a single electron.

So do you think that means that Planck’s Constant was an incredible lucky break for man, or that some prior intelligence ordained it so that the universe would develop life, or is the whole argument flawed and if so, why?