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Unfortunately, cardioide dispersion does not help you much in the room's resonating area. Standing waves will build up energy while bouncing around and will ignore the dispersion characteristics because there's no longer any controlled directivity to stop it once the initial wave hits the walls and reflects. In the resonating area the steady-state response is the best metric to use as a visual aid to see what we hear, and in the same steady-state response even Kii and the like will suffer from the same room-behavior as other speakers. Here's a few examples with the Kii;
View attachment 60177
https://www.stereophile.com/content/kii-audio-three-loudspeaker-measurements
View attachment 60178
https://www.gearslutz.com/board/high-end/1048540-kii-three-have-you-heard-them-23.html#post12588247
I have a ton of measurements demonstrating the same thing in my own room with Kii and other speakers. Differences can of course be seen, but they are completely dwarfed by the evilness of the room and could mostly be explained by small differences in placements.
Above about 200 hz the effects will begin to show.
Don't take this as criticism of Kii or any other cardioide speakers because it isn't.
Very interesting.
I had a chance to hear the D&D 8C and Genelec 8351b before purchasing the 8351b. Granted, I heard them in different rooms, but I found the bass of the 8C to be far superior to the 8351. Some of that was no doubt due to the extra extension, but the upper bass frequencies also sounded more neutral. My guess was that a very large part of why the D&Ds bass sounded better was due to the lack of SBIR, which is thanks to the 8c only radiating those frequencies in the forward direction. If what you are saying is true, then that difference I heard was more just due to room interaction luck? I don't have the knowledge to dispute what you're saying, technically, but subjectively, the difference I heard was very real.
FWIW, @napilopez 's in room measurements of the 8c very much show real SBIR benefits in comparison to the other speakers he measured. Below is the image he posted. You can see that the region between 80-160Hz is much improved over typical speakers.