Now, Orthodox Churches do not have a reciprocal position. But, most of us know of situations where there are Orthodox receiving Communion in Catholic Churches nonetheless. I don't know about the Polish National Catholic Church but I understand the Assyrian Church sanctions intercommunion. If there is intercommunion between Assyrians and Catholics is there any point to insisting on dogmatic divergences?

Say, for example, there was a change in the Orthodox position on intercommunion and there was some intercommunion allowed between Orthodox and Catholic? Or what if it moved to the level of intercommunion between the Assyrians and the Catholics? Would the dogmatic divergences between us become moot points?

A final question: from the Catholic POV have the differences become less important since the Catholic position on eucharistic hospitality is so open?

All of Churches involved in various dialogues - Catholic, Orthodox, Polish National and Assyrian - acknowledge that Eucharistic communion (or intercommunion) is the final goal of unity, and not a means to unity. Until such time as full communion is established, Eucharistic sharing may occur for pastoral reasons, given proper circumstances. From the Catholic perspective (and I imagine also from the Polish National Catholic and the Assyrian Church of the East perspectives as well) our unity on the essential elements of faith (dogma) is so close that Eucharistic sharing for pastoral reasons is possible. I can't pretend to speak for Roman Catholic Church, but my guess is that it sees no fundamental differences in dogma - just differences in approach and understanding that are not serious to deny Eucharist to someone from another Church. While the Orthodox Churches officially do not allow Orthodox Christians to receive the Sacramental Mysteries in these other Churches, many Orthodox faithful and a sizable minority of Orthodox priests have no problem communicating Catholics.

From a pastoral perspective, the US NCCB statement a few years back made clear that members of the Orthodox, Polish National Catholic and Assyrian Churches should adhere to the regulations of their own Churches. It seems that there are many Orthodox (I suspect mostly through marriage to a RC) who wind up worshiping in an RC parish and simply take communion without a second thought, even though it is against the policy of the Orthodox Churches.

>>If there is intercommunion between Assyrians and Catholics is there any point to insisting on dogmatic divergences?<<

I would suspect that all of the listed Churches are concentrating where their understanding of dogma converges, not diverges. It seems, in many cases, that the dialogues have shown that what was thought to be dogmatic differences are really, for the most part, differences in understanding and expression. There are real issues. But it appears that they are not serious enough for each Church to refuse to provide pastoral care to members of the other Churches when they openly seek it.

>>[F]rom the Catholic POV have the differences become less important since the Catholic position on eucharistic hospitality is so open?<<