You inexplicably left out the Non-Ephesenes (the Holy Apostolic Catholic Assyrian Church of the East, the Ancient Church of the East, and the Caldaean Syrian Church of India). They also have apostolic succession. Of course, they're Nestorians, but since you accept the Monophysites, you certainly can't object to Nestorianism either. This was surely an oversight on your part.
Christological agreements exist with both the Anti-Chalcedonians and with the Assyrian Church of the East.
So I don’t know what you are jousting after.