A thought came to me today: Since it was only the cup of wine that Jesus said represented the new covenant by virtue of his blood, could a case be made that members of the "Other Sheep" who aren't in the new covenant can and should partake of the bread? It was only the cup that Jesus associated with the new covenant, right? In all the gospel accounts the cup is associated with the new covenant but the bread isn't. The bread just represents his body given in behalf of all. So maybe all should partake of the bread?
Of course I'm only thinking from a JW standpoint here.