No, most of the tuning was in the target response. That’s the thing: audibility of the magnitude is very high compared to the phase. This is why if you rapidly cycle through no correction/minimum phase filter/full correction filter, you won’t notice much difference between the last two. On the other hand, if you dislike the sound after correction you mainly have play with the target response. In the documentation, the author advised to use insane or strong correction to become familiar with the artifacts you need to pay attention to. You should be able to experiment by just playing with those presets without modifying them and put most of your efforts in the target curve instead.
DRC is where I started this journey. Later, I used Audyssey in my receiver, and then purchased IK ARC for my stereo setup. This is a minimal phase correction, but with multiple measurement points and it was easy to adjust the target response. I was tweaking it follow broadly the natural response of my system. It also had a double gain adjustment as far as I remember: one to avoid clipping because of the filter, and another one to bring the “gain” without correction as close as possible. It allows to compare the sound with and without the filter enabled without being too much biased by a difference of volume.
Of course it left me wondering if the lack of phase correction was big loss. This is where I tweaked DRC configuration files to let it correct only the phase and not the amplitude. Then I used rePhase to correct for the crossovers. You see that the step response is already much closer to ideal with just this theoretical correction. This is what an ideal room correction software should do: start from what is related to your speakers and then gently correct for the additional room effects. The conclusion of all these trials was that changes in the phase response weren’t that audible, if audible at all in my far from perfect room. In the end I was using ARC + rePhase and most importantly a loudness filter to adjust the volume.
A few years ago I moved to a new place and I still have to put the system together! I am currently hesitating between a 2ch streamer, DAC or soundcard, and a 4ch one that would allow to me to fiddle with the bass management (in all my previous experiments I was just using what’s provided by my K+H O800)