algorithmic modeling for Rhino
I have what you want but it's carried over via code. If I have time maybe (not a promise, mind) I'll convert that into native components.
In the mean time Load R file first and see what happens.
This is rather faster, has a 3rd mode option and provides an ability for post-processing by further eliminating faces by edge ratio or by min edges angle (degrees).
mode 1: inclusion of a mesh face center in the BrepFace.
mode 2: as 1 plus intersections between any Brep Loops.
mode 3: Intersections between any Brep Loops.
Using the same R file for the demo Breps.
NOTE: If you don't want to work with a mesh with specific N of vertices try Mesh Machine as well
It isn't that nobody else knows how to do this... But without your code/data, it's just too much effort.
Ctrl+m ---> Enable "Preview Mesh Edges" would help?