I am glad I found this article. "TAS", if not coined by Hegel, is still very "Heglian" none the same, would you agree?
I'm a developer of a consensus building platform and methodology that is very unique, and it also has a ternary structure, and in principle is a "dialectic" but i have always used that word so cautiously because this process with developed independently of Heglian or Marxist dialectics, but it bears many similarities.
This utility you find in TAS I believe may related to a deeper ternary structure in our minds (my science adviser is a Neurobiologist professor and believes it is hard wired).
Yours is the first article that I have read that touches on this distinction between "ideas" and experience. (although ideas are, in principle "experiential information" so experience is not vacant from them either, no?)
I am not a Heglian or Marxist philosopher of any kind by any means, I just happened to develop this process which bares remarkable similarities to dialectics and it also has me scratching my head here, would love to learn more from you.
https://rome-viharo.medium.com/an-introduction-into-non-dual-consensus-building-e006eb04f722