And I try to read your post to learn (albeit I'm afraid a lot of it goes over my head). So where were we?
Well, skip the parts about horn-loaded enclosures because they aren't really pertinent in this case anyway. And re-reading it I could have been clearer.
In the case of the Peavey 1820 and the Ampeg Extreme a passive crossover is being used to allow the drivers (speakers) of each size to work in the range they are best at, and if done right that also allows one to use a two-channel amplifier, if desired, to put even more power into the cab for more loudness.
The biggest improvement those cabs can give you over say an 18" bass cab and a 410 cab both running full-range is that the 18" is staying out of the way of the other speakers, and vice versa, each able to do what it does best instead of trying to cover the entire spectrum.
That in turn actually makes it possible use speakers that specialize in only a portion of the entire frequency range, which usually makes them more successful at making a good composite sound at higher levels.
In the case of the 1820, which is a very old design, one can select modern components that handle more power better and optimize it without losing what was so great about it inthe first place.
You can also approach this strategy with separate cabs, but instead of running each cabinet full-range use either a good passive crossover, or an active rack-mounted one and a professional two-channel power amp/preamp combination.