None of my customers using horn speakers that purchased the dspNexus 2/8 has gone to either passive or other DSP crossovers after the system was designed from speaker and room measurements. The key is measurements of the speakers when built and in the room. The basic crossover in Audio Weaver is setup by myself for the users system to begin the REW measurement process.
Part of the measurements are not room specific and REW can make the measurements. The websites you show use ARTA for the measurements which I have for use that can use REW data. The lower frequency range needs direct measurements at the listening seat for accurate frequency response. This needs the speaker and room treatments to be in place for correct results, since if things move, then new measurements are needed for the correction to be accurate.
In room measurements are not hard and there are many YouTube videos along with my instructions on how to make them with REW. The dspNexus 2/8 and a balanced mic like a Beyerdynamic MM-1 with their calibration data with an XLR cable and mic stand are needed and work with REW once setup.
The dspNexus also gives ways to correct the speaker passive crossover response in room as I have done for many customers as well. This does well, but not as well as direct driver multiway DSP crossovers.
Since the speaker and room measurements are key to good outcome for the speakers, it is up to the customer to decide if they have time and would be capable to make multiple measurements. This would be required for any DSP based crossover and correction system for best use.