That is something that Mark Audio attempts to do as well. They don't use whizzer cones, but employ diaphragm geometry and thickness to get the beaming issue under control.
Mark has a different view of cone break-up, though. One I tend to share.
In the single driver builds I've done I never measured abrupt phase reversing or high Q FR peaks. It's more a gradual, distributed shift from pistonic behavior to vibrating surface, in my own experience and measurements.
Not saying it's like that with all possible drivers, though. Just the few I worked with.