From his time with Henderson, and of course his records with Bessie Smith, Joe Smith must have been on Bix's horizon. And Smith is another trumpet/cornet player of the 20s who isn't overwhelmed by Armstrong. But I doubt either could be said to have 'swayed' the other.
Bix seems to have fallen to earth from somewhere else. Unless Emmett Hardy really was the prodigy some have suggested. Even Armstrong can be connected to Oliver, Keppard etc.