If they interact in any measurable way, they do so in pcm recordings as well. The biggest thing that affects sound quality when considering higher resolution than 320kbps mp3s is recording/mastering quality. If you're concerned about the interactions of ultrasonic harmonics between instruments, as long as the sounds are digitally produced and separately recorded, such an interaction is never possible. Once you factor this as well, you will notice this "quality" must also be present in pcm recordings, as long as it's audible, if it's not audible then no quality of recording will make you hear that.

Another thing to infer from the fact that mastering/recording quality plays such a big factor in the perceived sound quality and intelligibility of music, is the fact that natively dsd music cannot be objectively compared to high quality pcm, since as long as they're recorder the same, they will sound the same.