I have found Anglicanism to be amusing, for years. Among other things.
I never try to make generalizations about Anglicans. But I think you are referring more to identifying with rather than being in communion with. The entire range of Anglicanism is technically in communion with itself (with the exception of those Anglicans who have stated they are, for one reason or another, in broken or impaired communion, over the most recent enormities of, say, TEC, to include those who are no longer part of the official Anglican Communion). To be in communion is a mutual recognition of orders, sacraments, etc. Your Evangelical Anglican may find the eccelesiology, or perhaps polity, of his Congregationalist brother more in conformity to his beliefs. But unless he appeals to that Congregationalist to ordain his deacon to the priesthood, he’s in communion with His Grace of London.
Anglicanism is a most elastic, nay, motley, concept. Whether its concept of communion differs from that of the RC/Orthodox, I could not say. But that was not my point, above.
GKC