That doesn't really make sense brian.
This is wide dispersion. Dome tweeter. Dome mid. 8" woofer.
This is a SEOS 12 over a 10" woofer.
Different angles though, sorry, they're what I have loaded in photobucket. But you get the idea.
Note in the SEOS speaker measurements that things separate around 600hz and up. That's actually a little misleading because the box cab is causing some diffraction, but in generally this speaker has directivity from 600hz and up. The speaker above has basically no directivity. Just a little bit above about 5khz. The SEOS 24 speaker is going to give that same pattern you see on my SEOS measurement down to about 600hz where the woofer arrangement can take directivity even lower. Maybe like 300hz. Doesn't sound like much but it can make a big difference considering room treatment isn't very effective below 600hz. So the directivity helps with that. Also, the bulk of the directivity is controlled by the horn, and this is preferred imo.
So what I'm saying is the dispersion doesn't change, how low in frequency it goes changes.