There is no proof that it wrapped the Lord’s Body.
If you look at the history of the shroud, you wouldn’t make such a declaration with such surety when for most part of its history is unknown. .
Actually there is a great deal of evidence that the Shroud of Turin is the burial cloth of Jesus. So much in fact that it is not even possible to list it all here.
The wounds of the corpse depicted by the Shroud’s image match those that the Gospels tell of Jesus receiving.
The dirt on the Shroud has a chemical signature that matches only that found in Jerusalem.
Then there is the simple fact that the Shroud is unique. No other such unexplainable image of a corpse on its burial cloth exists.
Furthermore Jesus Himself predicted a special sign that would be for an entire generation of people. His sacred image on His burial linen is the only miracle that fits this criterion.
Our Lord’s burial linen is the only artifact of the Crucifixion that is listed after that event occurred, and it is mentioned in all four Gospels. When St. Helena opened Jesus’ tomb she found many artifacts of the Crucifixion, but not the burial linen.
As for the history of the Shroud, that has been deciphered.* The de Charney family had reasons for their reticence as to how they had acquired the sacred cloth and where it had been.
We now are sure that the Shroud of Turin (as it is now known) was taken to the city of Edessa by the disciple Thaddeus where he used its facial image to heal King Abgar V.
It was first known as The Image of Edessa, “not made by hands,” and had to be hidden away for 500 years after the death of Abgar V.
In 944 the Byzantine Emperor Romanus Lepecanus used the threat of force and the payment of a large amount of silver to take possession of the Image of Edessa and bring it to Constantinople.
There the Shroud was enshrined with great ceremony and became known as the Holy Mandylion. August 16th, the date that the Shroud formally entered Constantinople, is still celebrated as the Holy Day of the Mandylion in the Orthodox Church.
In 1204 the French Fourth Crusade sacked Constantinople and confiscated the Shroud. It ended up in the possession of the Knights Templar who used its image in initiation ceremonies but kept this a secret.**
On October 13th, 1307 the King of France had all of the Templars in France arrested and imprisoned. Many were tortured but the King was never able to find the Sacred Image that they had been venerating.
As you already know, just fifty years later the Shroud became publicly exhibited by the de Charney family who were related to the former Templar Grand Master.
Sir, with all due respect, to say that there is no proof and no history is not correct.
*THE SHROUD, THE 2000-YEAR OLD MYSTERY SOLVED, Wilson, 2010.
**THE TEMPLARS AND THE SHROUD OF CHRIST, Frale (Vatican secret archives historian,) 2011