Hi OP,
Sorry for the short hand. A/D was short for Analog to Digital, and D/A was short for Digital to analog.
These are 2 new steps which must be introduced into the chain for active digital crossovers. Question is, how do I evaluate the sound quality of each step and decide if I like it? Well, I have to listen to the finished product.
With a few decades of experience listening to a variety of great measuring DAC’s I know that some great measuring DAC’s sound like crap.
On paper, if all sounded great, and all A/D and D/A steps were perfect then the active digital crossover offers a number of advantages vs. passive but it’s not necessarily simpler. Now I must deal with multiple amplifiers per speaker. Does the speaker maker pick those? Do I?
My point is definitely not pro or anti either approach. My point is that in practicality there are a number of complexities and trade offs which prevent blanket statements about the superiority of either approach.