An objection is that whenever two traits are connected, the relation may be considered from different directions. If strap length signals tall stature, height can also make a long strap likely. Merely naming one side “necessary concomitant” does not always establish an absolute division.
Likewise, “asad” and “shujāʿ” share a property such as courage; a single philosophical direction of necessity need not fit every use. The proposed directional distinction is thus subject to qualification.
The purpose is to understand the relation between the two modes, not to reduce every instance of rhetorical usage to one rigid logical arrow.