The rumour of persico being involved originated with his cousin? Fred DeChristopher, the guy he was hiding out with, who ratted him out. He told authorities that Carmine had told him of his involvement. No evidence however, backs up Persicos involvement.

Likewise, Gallo's involvement seems dubious because in 1957 he was a loyal Profaci solider. His own war with Profaci was still several years away.
Profaci was aligned with Anastasia and Bonnano against Genovese and Lucchese. To OK A.A hit he would have lost an ally.

The most likely theory is the one Capeci put forward,that the hit came from inside the family. With Anastasia angry at Genovese over the attempted Costello hit...I know Genovese was no slouch but AA was not someone to be taken lightly...he conspired with Gambino and Joe Biondo to take out AA.
The selling of memberships for profit and the unhinged killing of citizen, Arnold Schuster, were the official reasons but Im sure Gambino saw it as his opportunity to climb.
Biondo picked Steve "coogan" Grammauta, Stefano "14th street Steve" Armone and Arnold Wittenburg as the shooters.
Armones relationship with Biondo goes back to the 20's and they served in his crew. Armone himself was made a capo in the 1950's although im not sure if it was before or after the Anastasia hit. Everyone else involved all got promotions so it wouldn't surprise me if it was maybe for his participation in the shooting.
Interestingly, Capeci says that Armones younger brother , Joe "piney" Armone was originally slated to be a shooter but his brother replaced him when he was arrested and jailed. He would go on 28 years later to be involved in another famous hit on a Castellano...seems these Armone boys had no problem with clipping bosses.
Of all involved, Joseph "Joe Banti" Biondo interests me the most. This guy was near the top of the heap and involved with all the big names from the early thirties onward. Involved in high level drugs, with frequent trips to Sicily through the 40s and 50s.Longtime capo with a big crew. Consig through the fist part of 50s and upped to UB after the hit. He was demoted back to solider in 65 after Gambino caught him holding back money from a dump he was partners in with Sam DeCavalcante.

116th, most guys do not know steve g. a.k.a coogan, if you were not an old timer or from first ave crew he was very low key. , it is not something these fellows bragged about, even on the castellano hit before graveno flipped they had some of the guys wrong involved and roach was there and had the wrong guys when he flipped for a minute...who killed jerome johnson..video tapes, 150k people there..nobody arrested or talked about. mystery..plenty of colombo guys flipped ..nothing of value..not sure if gravano even spoke about A.A. hit team? maybe someone out there can say. just a thought would gambino sub this out to profaci, or tommy l? carlo had dozens of guys who did work.why profaci's guys.

So there was a reason why Carlo could have used that family ,,No. ?