altering coax length can effect CMC magnitude because you are changing the electrical length of the outside surface of the coax braid which changes the common mode impedance of the path to ground down the outside of the coax seen in parallel with the load,
Don't know where the 1/4wave is minimum 1/2wave is maximum came from, some cber made that up,
There are no optimum lengths, either length could give maximum or minimum CMC or something between depending on what's connected to the radio end and its electrical length to ground,