The CAT presents more space between instruments and more depth to the soundstage than the CH.
The CH is more authoritative in the bass, not just deep bass but bass in general. Not that I listen to electronic music much, but it demonstrates the differences pretty well.
The CH is cleaner sounding, more pure, easily heard in the highs but also the midrange.
The CH is more detailed/resolving.
The CH is more dynamic with my speakers.
After I purchased the amps, I ended up getting a CAT preamp. It produced a huge sound with lots of body but I didn't like the timbre... e.g. piano sounded a bit too brown for my tastes and I could hear distortion too easily. Other than that though it was pretty nice...
Ian, as you already know, I personally (and as tube afficionado myself) cannot hear any drawbacks with the CH amps compared to your CAT amps, neither in tonal density and richness nor in spatial presentation. I hear all the virtues of that tube sound, and then more. With the CH monoblocks, on the album Encores with music for violin and piano, the palpability of Hilary Hahn's violin in space was the best I have heard so far from your system. Timbre was very believable and pure. That extra purity of tone from the CH Precision gear (both the preamp and amps) is really beguiling.
Especially important for me, the insertion of the CH monoblocks into your system adds a level of liveliness to the sound that makes the music intoxicating. The last two times I heard your system, that is since you have the CH Precision monoblocks, the music was engaging and entertaining as never before. No wonder that you are, as you say, totally immersed in your system since you have those amps. They really make those Magico speakers sing!
That level of vividness of presentation is much closer than before to what I enjoy and cherish at home, but then your system completes the picture with an extra authority of sound, especially on orchestral but also on other music, as it is possible from a component configuration like yours.
Having followed your audio journey with listening in person over the years, I am glad that now everything came together so beautifully. Congrats, Ian!