Those of you may remember I had previously asked a question regarding a French Musicologist who had notated the Egyptian te'amim in 1798. One of the striking things I learned from that notation is that while the author claims to have written down the entire musical system, many of the cantillation marks are not represented, such as the sof pasuk, yoreach ben yomo, shofar choleich/munach, etc. The Karaite cantillation seems to also lack musicality for certain tropes as well:
We distinguish 21 cantillation accents, ignoring the Shalshelet, Merekhah Kefulah, Telishah Qetanah, Yare’ah Ben Yomo, and Munah LeGharmei, which are not considered musical accents, but stress accents and punctuation.
The Jewish Encyclopedia also shows some blank spaces for certain cantillation marks for Syrians, Egyptians, and Moroccans Source: http://www.jewishencyclopedia.com/articles/3986-cantillation
Do any other Mizrahi or Yemenite groups also have a tradition of not applying musicality to all of the cantillation marks? And if so, which?