There is a great deal of variance between what the masters referred to as the hunter canter and the school canter. It is for this reason that some masters such as Gueriniere put an emphasis on feel first.
Anja Beran: How Modern Dressage has diverged from the dressage from the past. The dressage of Gustav Steinbrecht and Guérinière among others and what that means to our horses.
Creating feel versus a one-size-fits-all package of pattern work within the canter allows for the variances within horses and levels of balance