I really don't see anything happening from this statement for many reasons. It is, to my knowledge, unprecedented, which is not something a body dedicated for centuries to conserving a revealed and received faith with utmost fidelity is keen on--precedent breaking, that is. In the past, reunions (and even false unions) have involved a renunciation of error and an adoption of truth. That is definitely not in this document, unless you want to say both sides renounce error, but then that makes no sense, because then you've lost the Church as the pillar and ground of truth. I'd pile more anathemas on Euthyches and Nestorius if it would help, but from what Fr. Peter has been saying, I see that our division remains the same. It comes not just from Chalcedon, but from Ephesus and after Chalcedon. There were, as I remember, many fathers who said, basically "don't go there" before Chalcedon because the doctrine of Christology was becoming more and more complicated. But we all crossed the theological Rubicon anyway because of a clash of very strong personalities fueled by theological disagreements. But now we are separated by over 1000 years of quite divergent understanding. The non-Chalcedonians have held to a narrower formula than the Chalcedonians were willing to accept. A union without a change in Christology from either side would I think result in, at best, much more confusion and turmoil in our Churches, and, at worst, would cause one, the other, or both to be inauthentic to her tradition as received from her own holy fathers. To have union while still maintaining our own firm beliefs would be to say that those beliefs are not as important as the union itself. Thus, it would be false union. If we're going to have real union, then we need to do far more than rely on statements by so-called theologians. (A theologian is one who prays and is enlightened by God. Are they in this case? I don't know.) A real union is going to require much more work. And in the end, it will still be false union if it is forced on the people. So, for these serious concerns, I am against this and favor the status quo.