Improvisation is the whole pie. CM is giving us a slice. Some greats say on a II V I, we don't play the the II chord. Others say, we don't play the V chord. Pay Martino says to change the chords to their relative minor. Ernie Watts says play the key center. On rhythm changes, he plays a C Major scale over the first 16 bars. Michael Brecker maintains a healthy disregard to the changes. Eric Alexander says forget that telling a story to reaching a manic climax. Just play the tune and make the changes. There my friend you have all the slices of the pie. Good eating.