No, I'm not referring to any Catholic fraudulent artifacts.
The burial cloth was left intact inside the tomb, like a cocoon.
The linen face covering was not connected to the "cocoon", but fell in its place.
The resurrection body was able to "pass through" solid objects, as demonstrated
by Jesus when he visited the disciples later.
You have miss read the verses:
John 20
5He bent over and looked in at the strips of linen lying there but did not go in.
It just says there were at least two strips of linen.
6Then Simon Peter came along behind him and went straight into the tomb. He saw the strips of linen lying there, 7as well as the cloth that had been wrapped around Jesus’ head. The cloth was still lying in its place, separate from the linen.
This now tells us there were at least two strips of linen (that wrapped Jesus' body) and a separate cloth that had been wrapped around Jesus' head which was still lying separately in it's own place where it had been left (by the Nicodemus and Joseph of Arimathea).
The shroud kept in the Vatican is made up of one main large linen strip which the image is on and sown onto the side of it is a thin strip about 2 inches wide and the length of the main shroud. The thin strip was used to tie the main shroud to the body so as to keep it all in place. This is how a body is wrapped in this funerary custom.
The separate head clothe, as I explained, was (and still is) a common practice when respecting the dead, by covering the persons face as soon as possible, but it was not left on Jesus under the shroud, it was left separately in it's own place as it says. This is all well known to those who have studied this.
To date, despite some very good attempts, the image on the clothe has not been successfully duplicated, so that all the peculiar properties of shroud are replicated in detail. Even more amazingly the image contains detailed information as to what the distance was between the cloth and the surface of the body it was covering. This was discovered in 1976 by a group of scientists using a VP-8 image analyzer, used to convert image density (light and dark) into a vertical relief picture. When applied to normal photographs, the results are always distorted and inaccurate images. However, when it was applied to the Shroud the result was an accurate topographic image, showing the correct natural relief characteristics of a human form, and therefore a complete three-dimensional image. One can only conclude from this that the image density on the cloth is directly proportionate to the distance it was from the body it covered. This spatial data encoded into the image also eliminates photography, and painting as the possible mechanism for its creation, and allows us to conclude that the image was formed while the cloth was draped over the actual body.
More recently it has been also discovered that plasma energy was responsible for the creation of the image as detailed in the video in the OP which you chose to ignore.