That's just marketing hype. No amps are "digital".
Good analog crossovers work well. They work exactly the same as an equal quality EQ, except in an eq, the bands are split so you can adjust the levels of each band, but then the bands are recombined into a single output. A crossover gives you seperate outputs for each band. Otherwise they are functionally identical.
In a digital crossover the main quality issue is in the digital to analog converters. If they are of good quality then this method has a better "potential" for improved sonic quality. But since analog crossovers work well, a theoretically "better" digital processor is just "more-better".
Digital processors usually give you added features like time delay correction, eq, and sometimes limiting. Once it's in the digital domian, it's just a question of software.
If the DA's, AD's or DSP **** then watch out, you would be better off with a decent analog processor. Cheap digital is not better than good analog.
All DSP devices suffer from "Latency", which is the very small delay that builds up as the audio is converted from analog to digital, running thru the software, then back out thru the digital to analog converter. If all your audio is going thru the processor then you cannot hear this latency. If, for example, you ran only the right side thru the processor, but the left side straight to an amp you may notice that one speaker is out of time with the other, depending on how much latency is caused by the processor. For most uses in a car, latency shouldn't be an issue. In live concert audio, latency can be a giant pain in the *** sometimes.