Trying the example from TFA, I think that it is easy to acquire a good intuition about how the curve moves when you pull a control point and the shapes of the curves that you can obtain are more beautiful and more interesting than what you obtain with cubic Beziers.

So I believe that if for you the "interactivity" does not seem better, that is more likely to be caused by being much more familiar about how cubic Beziers behave, from past experience, than because these hyperbezier curves were really less suited for interactivity. Also, the current implementation in JavaScript seems buggy.

For me, the poor approximation by cubic Beziers of some important curves, like conics and the Euler spiral, is an extremely serious defect, so I like these hyperbezier curves much more and I intend to investigate how efficient can they be, from a computational viewpoint.