For as often as you eat this bread and drink this cup, you proclaim the Lord's death until he comes. (Or words to that effect.) I don't think the identification of the Sacrament with the Church, the Body of Christ, is exclusive.
My post, though, was about my earlier objection to the word “physically” in discussing Eucharistic teaching. You said I would be rebuked, and even though I skimmed an article yesterday in which a Jesuit used the word, the friar agreed with me that it seemed to be more about what we would call accidents than about substance.
Physical things are mass and motion and the like. These are the accidents of a thing, not its substance. A chair is a chair whether it is light or heavy, in motion or at rest. “Chairness” has neither weight nor speed.
As to the rest, you pray with your friends, and I'll pray with mine.
Beats me!