A multi-driver DSP like Axiom's gives the designer fine control over each driver array's frequency response curve. Fine control means three things: bespoke roll-off profiles, bespoke mid-band compensation and bespoke system response. Bespoke roll-off allows for improved integration between all the driver arrays. Bespoke mid-band compensation minimizes resonances. Bespoke system response allows for equipotential sound power and listening window curves. These are all impossible to achieve in a practical way with traditional means like passive filters, and driver and cabinet improvements for many reasons. The digital filters, located upstream of the amplification, result in a simpler speaker load for each amp channel. The result there is much improved control over each driver array.
The benefits for the audience are all the poetry I've offered up in past posts. Those benefits are impossible to achieve even with fictitiously ideal components in passive filters. Note also that the passive cross-overs in v4 (and I think v3) are as good as a designer can practically achieve.
P.S. Many companies tout exclusivity by describing the endless investments they've made in esoteric passive cross-overs, cabinetry and drivers. These are usually exotic configurations or materials or both. But these result in very expensive, very incremental improvements. On the other hand, digital filtering like on the digital LFRs, is a step change improvement in performance and within very optimized cost for the consumer.
