PP, When Auippa/Cerone took over, it was because of the diminished power of the Taylor St. Crew.

The remaining men went in 1 of 3 directions.

1) Some were now under Torello, 26th St.
2) Some were now under Lombardo, Grand Ave.
3) some WERE NOW DIRECT with Auippa/Cerone. (Inherited)

They would use code names usually when referring to things:

They would usually say 'He belongs to Cigar' (Giancana)
or He belongs to Joe Nick (Ferriola) or there's a beef between Taylor and Grand Ave.

A made guy would never come out and say 'I am with Auippa'.
It would never be that blatant.

Also, if a guy was made, everybody knew who he was with, there was no need to spell it out.