I thought that one of the benefits of horns was that the diaphragm having to move only a very small amount would behave in a pistonic fashion.
While there are definitely benefits to the relatively small excursions required of compression driver diaphragms, inherent pistonic behavior is not one of them.
Few compression driver diaphragms that I am aware of are pistonic across their passbands. True Beryllium diaphragms usually are.
At the risk of over-simplifying, other compression driver diaphragm materials juggle stiffness vs damping. Some manufacturers are working with innovative materials (or combinations of materials), and some are working with unorthodox computer-optimized geometries, to improve diaphragm behavior at lower cost than Beryllium.
Down in the midrange and woofer region, there are tradeoffs between rigid cones and well-damped cones. Intuition might tell us that we're better off with a cone sufficiently rigid to behave pistonically across the driver's passband, but what happens above the passband can still be an issue. Stiff cones usually ring severely when they do go into breakup. Normally that ringing is suppressed by a steep crossover, but it can still be excited to an audible (and objectionable) level if the driver generates much in the way of harmonic distortion, as this distortion occurs AFTER the crossover so it is not suppressed by it. Thus in my opinion the requirements for the motor system itself may become more stringent if a rigid diaphragm is used.
That being said I don't know enough about the behavior of Alon Wolf's diaphragms to know whether they have successfully avoided the ringing issue which most rigid diaphragms have. My guess is that they have addressed it, as imo that would be an area where improvement can be made over other very rigid diaphragms.
Ringing is arguably not a significant issue with true Beryllium diaphragms, as it typically occurs above the range of human hearing. The Radian compression drivers with Beryllium diaphragms that I have worked with have sounded very smooth to my ears, subject to the "voicing" of the crossover. But this does not apply to pseudo-Beryllium diaphragms which may find their way into the dome tweeters of fairly inexpensive speakers (those diaphragms containing a very low percentage of Beryllium).