One of the flaws with the way we name the off axis tricks is the naming of the Cork 3 and Rodeo. The chart represent the main movement of the feet relative to the center of gravity. For example, a backflip would be an arrow moving negatively along the y-axis.
As you can see, Rodeos are integrated with Corks, and Cork 3s are left all alone. If following the definition of a Cork, a Rodeo is actually a Cork, with the axis of spin eventually being, more or less, directly to the side. That leaves Cork 3s alone, with the axis of spin, at the peak of the trick, along the y-axis and the feet in a y-positive position.
In order to solve this problem, Cork 3s should be moved to where Rodeo 3s are, and all Rodeos (which are the same as corks) moved to the position of Cork 3s.