Interesting on the room correction, not sure what to think there and why it would be different than other speakers. You might get less room reflections with the horns. They tend to be a lot more narrow and need less room treatment/correction in my experience.
Does room correction need to be engaged to run a highpass? Even if you chose to highpass at 40hz I would imagine the transition will be clearer.
I normally highpass my JBL 4367 (similar layout to the Cornwall) at 63hz but one of my subs is broken again (JL is trash). So I am running just one sub at 37hz to fill in the bottom end at the moment. Even at 37hz the highpass made a big improvement in integration than just using a a low pass (I tried both ways), food for thought.