It depends for whom.
1. In my first post Maj. Gen. Samuel E. Anderson can be seen. He received this badge honorary.
2. Francis Gabreski is an other story. The Polish Air Force fighter pilots and the USAAF 56th FG fighter pilots were the friends. When more AAF fighter pilots arrived UK (after the BoB and US Eagle Squadrons episode) the RAF and PAF fighter pilots trained AAF fighters and explained them the German tactics and mentality. And the USAAFers fought in the PAF Fighter Squadrons. Next the roles were reversed -- the PAF fighter pilots fought in the AAF 56th FG, you know Łanowski & Company, so to say. In this case both Gabreski's and the other AAFers' Polish Pilot's Badge would be hard to call "honorary". They were received by the AAFers absolutely in the combat conditions. A very nice US-Polish episode of WWII.