Here's a comparison of the polar plot of the Rocketman speaker versus the new Paradigm Premier 800F tower speakers.
To be clear, the software, mic, room and test conditions used to create these curves are not identical, so it isn't a perfect Granny Smith Apple to Granny Smith Apple comparison. It is more like a Delicious Red Apple to Honeycrisp Apple comparison. One obvious difference is the scale in my chart goes from bright red to full black where the other plot goes from bright red to dark blue, making my plot more extreme in its results.
Note that the Paradigm curve isn't as smooth shows the impacts of edge diffraction with the evenly spaced ridges of yellow and orange across the test range. Also, the major null at 13,000Hz appears to be a speaker baffle issue and not a driver issue given the shape of the dispersion pattern. The Rocketman has a null looking dip at 6,000Hz, but in the normalized version of the polar plot that dip in response isn't reinforced by the same anomaly and is more likely just a by product of the tweeter's natural response dip. So, the comb-filter series of dips in the response of the paradigms treble output is very likely to be caused by the baffle shape, size, and the tweeter's lack of absolute directionality control.
Fullrange Driver Polar Plot
I also found some other speakers' polar plots, and I thought I'd share an extreme example.
Here's the Rocketman polar plot next to the polar plot for the MarkAudio SOTA Cesti T tower speaker which has a 2" fullrange driver and two 4" woofers:
Again, remember the conditions or software are not identical, so this isn't an absolutely perfect comparison.
Note that the full-range driver has the traditional issues you'd expect from any large driver in operating at higher frequencies (though this is an amazingly good driver). However, the cabinet baffle is perfectly square edged and the drivers are mounted dead center. You can see the very clearly solid comb-filtering at narrow gaps throughout the range of the measurements. This is NOT good. The frequency response of the driver is fraught with that comb-filtering across the critical midrange. All of the diffraction is complete noise added to the sound which causes the response aberrations. Instead of the direct sound hitting your ears as it is produced by the driver, there are tiny out of phase echoes arriving within milliseconds which is flat out time-domain based added noise. Not good.
CAVEAT
These diffraction issues are not proof of a speaker sounding terrible. Many great sounding speakers have terrible issues with diffraction, and in some cases the signature sound of a speaker comes from the diffractions. However, when it comes to absolute clarity and resolution - the things headphone lovers often talk about as being the advantage of cans over speakers - all the added signals from diffraction is one of the main causes of the loss of clarity and resolution. Of course, the room plays a role as well, but as long as the room reverb and echo is arrives at your ear at least 15mS after the initial direct sound arrives, the perception is that the room sounds are not from the source. In other words, our brains can tell an echo is an echo as long as it is about 15mS after the initial sound. Everything which arrives before that, or before about 10mS, our brains assume are part of the original sound.