I think that to blame was Profaci that with his greed cause the Gallo revolt and his plot to kill Gambino and Lucchese damaged his family in matter to Inter families rackets but what seriously damaged the family was the fact that Persico after commission trial decided to remain boss and attire more heat on the family with the Aronwald murder and the third colombo war that generate deaths,media attention and the flipping of many importanti members.
Yes the family ranks was rebuilted but without a boss on the streets is hard to complete rebuilt a family.