He did not "write" the COIN manual. His command at Leavenworth wrote it and to some extent he participated in the process. He deserves credit for participating in the process. Most generals would not.
He clearly now understands the complexities of the inter-communal struggle for Iraq and its relationship to the "outside" players in the surrounding countries and across the Islamic World. He is careful in what he says. He knows that the struggle is "political" in the broadest sense and that the historical balance of power in the Islamicate World is what is at stake.
He sees that the "galaxy" of insurgent groups; Sunni and Shia secular Iraqi nationalist, Arab tribals, Baathis, specifically Iraqi jihadis, AQ in Iraq takfiris, etc, are a melange that have little in common other than a deep desire to avoid the long term control of Iraq by some coalition of Iranian oriented Shia parties and militias. Having seen that, he sees the utility of using the less "offensive" groups against the more "offensive" ones. This is wisdom.
He will have a hard time doing that in the context of the simplistic simpletons in power and the masses of people whom they taught to bray "Bad! Bad!" every time they hear the word, Baath.
I wish him luck. I really do. pl