The Church is not only allowing the divorce, it is requiring the civil divorce for a couple seeking an annulment.
It really is all semantics, because in the end, whether the couple is granted a Church divorce by the EOC, or an annulment by the RCC, they can marry again. Except that in the EOC, it is a sin to get a divorce, whereas, I haven’t heard that it is a sin at all for a married couple to get a RC annulment. And for the RC, you can get as many marriage annulments as you want, there is no limit, unlike in the EOC.
Some of the reasons for granting the annulment seem to be pretty trivial ones, like it occurred to me that I might have wanted to use a condom during the marriage. And in fact, this reason seems a bit off, since the Pope himself, says that there might be cases where the use of a condom is justified. “Vi possono essere singoli casi giustificati, ad esempio quando una prostituta utilizza un profilattico, e questo può essere il primo passo verso una moralizzazione,…”
vatican.va/news_services/or/or_quo/text.html#13