[BillyBoy]

>> So what the Church is really saying when it denies communion to all but those on its own membership roles <<

This is also an incorrect statement about Catholic doctrine. The Roman Catholic Church does NOT deny communion to everyone but Roman Catholics. For example, an Orthodox Christian in good standing is allowed to receive communion at a Catholic parish (although oddly enough, the reverse is not true)

[Free and Armed]

Ah yes, I forgot about the Orthodox. Thanks for correcting.

[Syncro]

At the big celebration when watching it live I noticed it was said that communion would be served to everyone in the crowd.

[old and tired]

For example, an Orthodox Christian in good standing is allowed to receive communion at a Catholic parish (although oddly enough, the reverse is not true)

Not always. We went to a Russian Orthodox/Catholic wedding in an Orthodox Mass where the Catholics were invited to receive. But then we also attended a Greek Orthodox/Catholic wedding where it looked like the Groom (Catholic) received but none of the other Catholics present did. We actually wondered if the groom had converted but according to his mother, he hadn't.