I'm not sure how to relate what you said to my post? Wrong reply button?
I should have included this quote to begin with. I'll put it in now.
In any case. A direct connection does exist. If you follow the link, there are other examples where the (+) operator would be useful besides parallel resistance.
I still think it implies a degree of symmetry that will confuse students, though, and that the notation can be further improved from what was proposed there. The operation in question is not trilaterally symmetric, and using a trilaterally symmetric symbol is probably misleading. The root symbol is arbitrary, but at least it doesn't promise nonexistent symmetries.
More seriously. The selling point of the triangle operator is that it highlights isomorphisms between the three more traditional operators as a cyclic group. Which is a symmetry, just not the commutativity that students might naively expect. So I suppose it's a double-edged sword. I agree that it sucks as an operator. Nonetheless, the video could help a lot of students.