This thread is complicated by the fact that it's in the Bryston circle, but the topic was really a question about active vs. passive speakers in general.
Bryston's active approach appears very well thought out, though there is more than one way to implement an active system. James's comment about the demo being of prime importance is valid, however, which is why I've made a point of visiting their room at the last several RMAFs - and been impressed. (Personally, I might stop short of calling everything else rhetoric, as it can be difficult to translate what you hear in a demo back to your own system - more so if you're changing multiple variables at once. Understanding the 'hows' and 'whys' of an implementation definitely helps with such translations.)
Having said that, I'd encourage folks to understand the various means by which an active speaker system can be implemented and the compromises associated with each, googling if necessary. The only requirement for the 'active' definition to apply is that you have 1 amplification channel per driver and no crossover between those amplification channels and their associated drivers. (To really complicate matters, some systems are partially active, using a traditional passive crossover between the tweeter and mids, but an active crossover from mids to woofers/subwoofers. And even in an active system, you may still have passive components, though not crossovers, between the amps and drivers. Examples include resistor pads or resonance damping networks, etc..)
The line-level crossover implemented upstream of the amplification channels in an active speaker system can be analog or digital. If digital, you will add an additional AD/DA conversion. If analog, you will not.
AD/DA conversions can be implemented to sufficient quality levels that it's arguable whether they should pose a significant concern in actual practice. Certainly they shouldn't immediately bother the informed audiophile if more fundamental concerns haven't been addressed, like acoustically treating your room in a manner consistent with the radiation pattern of your speakers! And having the line-level crossover implemented digitally does provide more flexibility, which may or may not be of benefit in your system.
For what it's worth, my system has both. I have an analog line-level crossover followed by traditional external amps for my mains (no AD/DA conversion), and a digital speaker management unit (with additional AD/DA) in front of my subwoofers with their integrated amps. My pre-amp has dual outputs, and thus sends the same signal to the analog line-level crossover and the digital speaker management unit. (I should note that I perform driver EQ digitally on my server before I even get to my DAC, a task that the Bryston BAX unit performs in addition to its crossover duties.)
And the minute James and Co. release a general purpose version of the BAX, you can bet I'll be looking to audition it!