I've never heard of or seen a face on a chasuble. Usually they are decorated with symbols. I even wonder if it is permitted. Who is the resident adviser about such regulations?

The church has always translated that hebrew into "the lord", and that is quite different from promoting its more proximate pronunciation as seen in the triangle.  Venerating the tetragrammaton has not been a devotion of catholics traditionally.  You find it beginning in the 18th century, but that does not therefore qualify it as "traditional symbol" if you ask me.  Catholic tradition is much richer.
And, Catholics do not have a monopoly on the triangle, it is more popular among freemasons, who came to power right around that time.  A triangle by itself is not ipso facto representative of the trinity.  And, that triangle is not a triangle by itself, it is hinting more at being an object with six sides.  Look at the 3 offshoots on the sides of the triangles.  That comes across to me as more тαℓмυdic than catholic.  Add the hebrew, and you have a closed case.  That triangle is not hinting at the trinity at all.
Our lady's mantle is not functioning much like a mantle either.  It is grabbing with its pointed ends, reminding me more of bat wings.  
How about the pope holding the monstrance with his bare hand as they do in the novus ordo.  Where is the reverence in that?