I spoke to my Chevrolet Dealer today and the manual for the 2012 clearly states that it can't be flat towed. I asked about my 2010 Malibu and they siad since the manual states that it is 'Flat Towable' that it is and the transmission would be covered if something went wrong. The 2012 states that it willot be covered if 'Flat Towing' the car.
I heard the same thing from my neighbor (a former GM worker) with a 2011 Cruze. I have 2010 Malibu with the same transmission that it is set for towing. My dealer doesn't know anything about it.