Sure, its possible that They may have done something but also remember that Gambino was responsible for Genovese going to prison. So its also possible he would've have been fine with the move, if it were to really take place.
Gambino was in no way responsible for Genovese going to prison. If Vito had any inkling at all that he was set up anyone and everyone involved would have been hit like Costello, Anastasia and Moretti were.
