Perhaps you missed the conditions I gave for being able to do it "ALL" (you missed that too) - "cover the enormous bandwidth with two drivers and do this with low distortion and even dispersion at the higher SPL levels necessary to sit far back"
If you disagree "in general" (not talking about a specific speaker) then please explain?
Yes, I think there are quite a few two-ways that can meet that challenge very well indeed (*certainly* if one considers any type of horn-loading, which I won't).
Neglecting horn-loading, Audio Note AN/Es can play quite load quite cleanly flat to 30 Hz with quite substantial bass content below that.
The two-way Kharmas and dual-concentric Tannoys can do these things as well - although neither with the same bass extension (save perhaps the large 12" dual-concentric TD12; I had the TD10 which was solid to 35-40 Hz).
Obviously, if *max* SPL is the goal, a three-way gives an advantage in sheer driver area, of course. However, for most music and most tastes, well-made two ways can be very satisfying indeed - certainly, unless your goal is rock at 110 dB.
I listen to mostly jazz, 12' from AN/Es in a large room, at 90-95 dB peaks, and there isn't a three-way of any kind I'd take over them. And if I didn't have them I'd be using another high-quality two-way (or single driver back horn).
For me, the advantages of two-ways far outweigh any advantage another driver and crossover give.