Luther Accepted the Reformed view of the Eucharist? It was not a Dividing issue?

 Here's a Luther quote sent to me recently, said to be Luther's positive response to the Reformed on the Eucharist:

"We have now heard your answer and confession, viz., that you believe and teach, that in the Holy Eucharist, the true body and true blood of Christ are given and received, and not alone bread and wine: also, that this giving and receiving take place truly and not in imagination. Although you take offense in regard to the wicked, yet you confess with St. Paul that the unworthy receive the Lord's body, where the institution and word of the Lord are not perverted: - about this we will not contend. Hence, as you are thus minded, we are one, and we acknowledge ~and receive you as our dear brethren in the Lord." Martin Luther, Said at Wittenberg Concord

First, let's take a look at this quote to find out where it comes from. Second, let's briefly look to see if this is an example of Lutherans and Reformed together.

Documentation
The person sending me this quote was gracious enough to provide meaningful documentation. This English text comes from James William Richard, Philip Melanchthon, the Protestant Preceptor of Germany, 1497-1560, 253. This source took the quote from Julius Kostlin, Martin Luther, Sein Leben und Seine Schriften II, 349. Unfortunately, Kostlin doesn't document what source he was using, other than referring to a report by Myconius. The text Kostlin may have used was Dr. Martin Luthers Sämmtliche Schriften 20: 2111 (17:2555-2557).

This text is an account of the Wittenberg Concord of 1536. An odd sort of AI generated English translation can be found here. 

The Wittenberg Concord

Many historical accounts and scholarly opinions of the Wittenberg Concord exist online documenting the tedious details. Briefly, what you need to know: the parties involved were the Wittenberg theologians and those from upper Germany, represented primarily by Martin Bucer (of Strassburg).   A statement of agreement produced by the Concord on the Lord's Supper can be found here. 

Amy Nelson Burnett, trans., “The Wittenberg Concord 1536,” Reformation and Renaissance Review 18, no. 1 (March 2016): 25–26.

Bucer's side held the Lord's Supper was only for the spiritual nourishment of the soul and that it was not intended for the wicked. For the former issue, Luther wrote to Bucer a few years earlier: "We give thanks to God that we agree at least, as you write, insofar as we both confess that the body and blood of Christ are truly present in the Lord’s Supper, and that together with the Words [of Institution] they are distributed as food of the soul" (LW 50:7). Luther's contention was with the later point. In the same earlier letter, Luther wrote:

If, then, we confess that the body of Christ is truly distributed to the soul as food, and if there is no reason for us not to say that the body of Christ is also distributed in this way to the unbelieving soul, although the unbelieving soul does not receive it—just as the light of the sun is offered equally to the seeing and to the blind—I am wondering why it bothers you people to confess also that the body of Christ is offered, together with the bread, externally to the mouth of the believer and unbeliever alike; for through the concession that the body of Christ is distributed to individual souls it is, of course, necessarily granted that the body is present and can be distributed in many places at the same time. If this thought has not yet matured among you people, however, then I think this matter should be postponed and further divine grace should be awaited. I am unable to abandon this position, and if, as you write, you do not think that this position is demanded by Christ’s words, my conscience nevertheless holds that it is required. Therefore I am unable to confess with you that total unity exists between us, if I do not wish to harm my conscience, [or] rather, if I do not wish to sow among us the seed of far worse turmoil for our congregations, and of more dreadful future dissension among us (LW 50:7-8).

You can see in the Wittenberg Concord statement above, the issue appeared to have been settled. Without getting lost in the tedious details, both sides were pouring their own meaning into the category of people described as "unworthy." As Gordon A. Jensen explains:   

For the Lutherans, the “unworthy” covered all believers who were simul iustus et peccator. One’s piety does not determine Christ’s presence in the meal, but it could affect whether Christ’s body brought life or judgment. Bucer, however, considered the unworthy as a distinct third category. For him, the unworthy included only those who were struggling with their faith, not unbelievers. He thus insisted that Christ’s presence in the meal depended on the faith of the recipient, while the Lutherans focused on the one who gave the sacrament, taking an objective approach to the sacrament. The Word of forgiveness and grace comes from outside of the communicant (extra nos), in the person of Christ, present in the bread.

The issue of contention for Bucer was Christ being physically present in the elements even if they were received by a faithless person. For Bucer, an ungodly person is simply ingesting bread and wine. His emphasis was to avoid Romanism. For the Lutherans, "If the validity of the sacrament depended on the faith of the recipient, then it became a works-righteousness, leading to self-justification" (Jensen, 102).

Conclusion

It appears to me the two sides in essence, agreed to disagree, perhaps while thinking they both agreed? You'll find ample statements though that this unity was not maintained. Even the source which began this entry stated, "The Wittenberg Concord, as it is known in history, failed to effect a lasting union...".

Lutherans and Reformed together? As far as the statement goes, I would be keener on it if the statement actually explained the areas of disagreement more carefully, yet agreed to disagree for the sake of unity.