This is not what I am referring to. I am referring, instead, to a specific pattern in sequences. In this case, it has nothing to do with morphology. Of course, morphology falls in nested clades too, but that is a different conversation. We are talking about sequences here.
Just read the papers I linked to and the original post. It is very clear.
As I have explained several times, the alternative hypothesis tested is that similarity predicts function better than phylogeny. This exactly your hypothesis.