@mijostyn You are not looking at this right.
Active has zero to do with digital or "digitization". Active can be analog or digital crossovers and all class D amps. Active is simply an electronic crossover (analog or digital) operated at line level before amplifiers, amps hooked directly to drivers and no passive elements in between.
In the brand I work with, ATC, it is 100% analog: analog crossover, Class A/B MOSFET amps, no DSP digital anything inside. Same with older Genelec and many other active systems. You have to research this to know for sure.
Some of these active systems bundle DSP in to do "correction". What that correction is important because it could be "DSP room correction" or "DSP speaker correction".
Room correction attempts to fix an acoustical issue with some kind of EQ. This is controversial as you are now changing a speakers direct output based on the reflections in the room. What’s coming out of the speaker may not be wrong.
Speaker correction looks at correction of the crossover itself and how it affects speaker behavior and driver performance.
TRINNOV and DIRAC are room devices, addressing the acoustic problems in the room. This is still controversial, as fixing a "room" electrically is still something many experts argue about. The brand I work with (ATC) hates it as they say why fix direct sound when its reflections that are messed up? The only thing that may be right is the speaker itself but now you want to change that based on what the room is doing. Purists would say "Fix acoustical problems acoustically and electrical problems electrically".
Whether amps are digital (Class D) or not is not part of the DSP room correction. You could use DSP room correction in front of analog speakers, like your preamp or receiver having DIRAC but used with pure analog speakers. Or using a Trinnov in front of a ATC analog speaker. In the case of DEQX, it is a replacement for crossovers and speaker correction, a very different "problem" compared to room correction.
Brad