^ It depends on how you look at it. The referred figures seem to emphasis the stop-band, but if you emphasis driver ioverlap you may draw a different conclusion.
A 2 octave width filter is 6 dB down one octave into the cutoff region, which is more or less the same as a 1st order. So as far as driver integration & overlap goes, I'd say that corresponds to a 1st order filter. But after 2 octaves the 2octave filter is literally silent, while a 1st order filter is "only" 12 db down, which means that the conventional 1st order filter will excite the driver significantly at lower frequencies. So the 2 octave xo is like a 1st order filter from 0 dB to -6 dB, but with a very steep stop-band following
This means that you e.g. can cross over drivers closer to the where the distortion increases, yet have a fairly shallow integration with the neighbour driver. You can run the tweeter perhaps one octave lower with less strain, and you could possibly run the bass one octave higher etc. This gives you a greater design freedom.
There is also the fact that steeper crossovers have more ringing than more shallow crossovers. The 2 octave filter has a time domain behavior that is quite close to a regular 1st order filter. A conventional high order crossover has much stronger ringing than the ones used in Audiolense.