I read it all plus footnotes.
In answer to your question, to make a hot link of a url, begin by typing a “<” followed by the phrase “A HREF=” and then the url. And then add a “>” to close the expression and type in a title or description and finish it all with “<” followed by a “/A” and a “>”. Obviously I am separating these terms so that they aren’t interpreted as an HTML command in this reply.
Back to the pdf which acknowledges the invisible church and the physical inability to distinguish it from the visible church. Which is to say, for exclusion under close communion, the doctrine discerns physically by the physical confession of physical lips.
And so the exclusion for the Lutheran confession is a physical matter, not a spiritual one. The doctrine does not claim Spiritual discernment.
My understanding of the doctrine is improved and I thank you! However, my position is unchanged because "common union" is a Spiritual matter (which the Lutheran confession recognizes) and the Spirit discerns.
But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his. - Romans 8:9
Is it not lawful for me to do what I will with mine own? Is thine eye evil, because I am good? – Matthew 20:15
And the voice [spake] unto him again the second time, What God hath cleansed, [that] call not thou common. – Acts 10:15
As the link paraphrased showed Luther would commune the man who claimed allegiance to Christ even if he didn't believe him because he must based on the man's confession.
We are in the same boat when we commune those amongst us who are unknowingly (to us) unrepentant. We would expect those of our membership or those with whom the Synod has altar fellowship to approach the Table in a right mind, knowing what awaits us.
Thank you for the HTML lesson, we shall see if it works!