”psychoacoustical experience of a tri-tone interval has little to do with sonics.”
If the system is incapable of reproducing it, then you are correct: there will be none to be heard.
As I have said elsewhere, audio is not an end in itself: its purpose is to faithfully reproduce what the artist, with the help of the recording engineer, intended you to hear.
I can’t believe how we go through this topic with seemingly infinite variations.