That is already the case. There are 13 eastern rite Catholic churches. They are orthodox in liturgy and theology, but in full communion with the pope.
Personally, I consider the Orthodox equally entitled to claim apostolic succession with Roman Catholics. Many of my brethren don’t agree.
In addition, there are several churches that call themselves Catholic but are not in communion, and imho are not particularly Catholic. There is no inquisition anymore to keep these things straight. Kind of a pity, that.
stop_fascism:
You are correct, Catholic Liturgical discpline does not forbit anyone in the Eastern Orthodox Church from partaking in Holy Communion in a Catholic Church whereas baptized Christians from any of the “thousands of Protestant ecclesial communities” may not partake of Holy Communion in a Catholic Church.
So while some Catholics may view the Orthodox as schismatic, this is not the view of the Catholic CHurch in terms of canon law and Liturgical discipline as outlined in the GIRM.