Insane! That's getting added to my mental list of "things I didn't know I needed to know, that I now know", lol
Also, someone in the comments pointed out, the wave will interact differently with distortion and also sound differently in lower octaves. I just toyed around with it in Vital, and you can get some pretty old-school sounding imperfect square waves by randomly phaseshifting different frequencies and passing them through a clipping distortion to get back the volume. Sounds like something straight out of Atari and NES sound chips, cause I suppose the sound chips themselves on console or/and on the tv produced a ton of distortion. Playing several notes close together or in a chord and pitch shifting is completely wild, though perhaps everything I just outlined isn't a surprise to any chiptune veterans out there.
Hey man, I only know about distortion in old hardware from documentaries, it surprised me too when it produced the sound straight out of a console! I just tried one patch, but there is probably more you can do with triangles and perhaps some FM-synthesis, that's something to feel excited about!