so... the difference here is what to call the method used to change the leadership? a coup or not a coup? Ok, wrestle with that. I understand the US government's ... reluctance to accept that label.
I think another interesting question is what to call the changes in the scope of the president's authority that Morsi made. Were they legal? Were they legal because he was "the decider"? I think he dramatically changed the role of the presidency but kept the title and the mantle of legitimacy of having been "democratically elected", but what they elected and what he/the office had become were completely different.
That's not a coup; that's
cuckoo.