I was thinking of that trip he took, when he carefully explained to the Orthodox that the Anglican Ordinariates are not a repeat of the Union of Brest.
I was a little rusty on the details when I posted that, but now I've found them:
In Cyprus, the news that the Catholic Church is ready to incorporate groups coming from Anglicanism also put the Orthodox on alert. Their fear is that a "Uniate" Church of the Anglican rite will be established and added to the "Uniate" Churches of the various Eastern rites: these are Churches obedient to the pope of Rome but in everything else the equals and rivals of the Orthodox.
In this regard, Kasper says in the interview:
"In Cyprus, in order to avoid misunderstandings, I immediately told our Orthodox counterparts that this is not a matter of proselytism or a new Uniatism. [...] Uniatism is an historical phenomenon involving the Eastern Churches, while the Anglicans are from the Latin tradition. The Balamand document of 1993 is still valid, according to which this is a phenomenon of the past that took place in unrepeatable circumstances. It is not a method for the present or the future. The Orthodox were mainly interested in understanding the nature of the personal ordinariates for the Anglicans, and I clarified that this is not a matter of a Church 'sui iuris', and therefore there will not be the head of a Church, but an ordinary with delegated powers."
In simpler terms: while a "Uniate" Church has its own structured hierarchy, with a patriarch and territorial dioceses, none of this will apply to the former Anglican "personal ordinariates," which will provide pastoral care for the faithful but without their own ecclesiastical territory, a little bit like the military ordinariates.
The new ordinariates will be characterized by the preservation of the Anglican rite for the Mass and the other sacraments – with liturgical books that were approved for the United States in the 1980's by the Vatican congregation for divine worship – and by the possibility of having married priests.http://chiesa.espresso.repubblica.it/articolo/1341020?eng=y