I'm not convinced by the logic of this position. I personally have never been tempted by the Arian, monothelite, and various other heresies rejected by the Great Councils, but if I were to have refused, on that basis, to affirm their conclusions or recognize their status as Ecumenical Councils, I could not have been received into communion with the Orthodox Church of America. Or rather, I would not have been able to affirm such a communion, which would obviously have precluded my participation in its sacramental celebration.
It is enough for me to know that the Church has faced such heresies, has rejected them, and formulated dogma partly in response to them. In that sense, I, as a member of the Church, have faced them, too, and rejected them as part of the Church, which is One.
Many, perhaps most, of the Oriental, non-Chalcedonian, non-Nestorian churches are apparently prepared to recognize both themselves and the Chalcedonians as being of the Orthodox Church. Then why not recognize that, inasmuch as we are (on the hyposthesis) One Church, you, too, have faced these heresies, inasmuch as certain Byzantine Christians, united (presumably) with you in the Communion of Saints, did, and affirm with us the consequent dogmatic definitions?
To refuse to do so, it seems to me, is tantamount to rejecting that fellowship, that commonality within the Communion of Saints; in which case, celebrating Communion together, or claiming that we both represent the One Church, is, at best, to glaze over things.
I look forward to your response.