I think you have provided a very good analysis. I hope to see more.
Just as a contrast, the Episcopal Church allows any baptized Christian to partake of communion, including their own members. They hold views from Zwinglianism to Anglo-Catholicism about the Eucharist. They require confirmation of their members, but do not make this a prerequisite to receiving communion.
Just as a personal note: I consider the term "baptized Christian" to be a redundancy. If one is a Christian -- that is, has accepted Jesus -- then that person has been baptized by the one true baptism which is the baptism by the Spirit into the body of Christ. Spirit baptism is the baptism which makes one a Christian and member of Christ's body, to which water baptism attests. No amount of water can make one a Christian. To say one is a Christian is to say that person has been baptized; conversely, one who has had water applied to him or her in an outward ceremony but has not come to faith in Jesus does not make that person a Christian. Slightly off point, but the Episcopal policy brought it to mind. In the Methodist Church, and in Baptist churches around here, the only requirement to receive communion is that one has come to faith in Jesus.