Not sure if related but a friend with a 2012 GT/CS had similar and is getting a new Coyote engine via the power train warranty. Brought it in, they listened, said YEP, not fixing getting you a new engine.
2003 Mach1 DSG (1of1595) IUP, 5 sp, MGW black locking fuel door, sequential flashers, K&N, Mach1 scuff plates, ID tags, MRT shifter, Borla cat back, Steeda full length subframe connectors, 3pt STB, AFS black chrome Mach1 Heritage 17 x 9 & 17 x 10.5 shoes, MRT hood struts.BIRTHDATE - 04/09/2003
2012 Shelby GT500 - performance white. SVT Performance Pack, navigation, Borla
2014 BMW 750i xDrive M Sport - Daily Driver