Your terms are confusing me; the Orthodox Churches are not in union with Rome, though they are not considered heresies (as the Protestant Churches are). Orthodox Christians are permitted to receive Communion in Catholic churches because of this distinction.
Eastern Catholic churches are in union with Rome; they allow married priests already. The story is misleading, in that it should specify that celibacy in the Latin (Roman Catholic) rite may be reviewed.
Orthodox Churches refer to themselves as of Eastern Catholicism:
http://en.m.wikipedia.org/wiki/Eastern_Orthodox_Church
You know they were the same united in the first few centuries AD?