It may mean that to you, but it doesn't mean that to many biblical and historical scholars. To BIND means to tie up... Why would anyone tie something around the face, Race? The bible does NOT say "wrapped around the entire head. It says in your King James Version (using imprecise translations from the Greek) "And the napkin, that was about his head, not lying with the linen clothes, but wrapped together in a place by itself."
As you can see it says "about his head" not "around his head" which just as easily could have been said had that been the meaning. We also see that the napkin was seen "wrapped." Why was that important, Race? Think about how you would make a large cloth into something you can bind under the jaw and over the top of the head to be tied to keep the jaw closed (we know the jaw has not gaped open because the mouth of the man on the Shroud is closed). A person making a binding would roll (or wrap) the cloth to make a thin strap-like roll of cloth to pass under the beard and over the top of the head to BIND the head and jaw together. There is no purpose in having a seperate cloth covering (or wrapping) the face when the shroud will do that quite nicely.
This binding of the jaw happens to be a fairly COMMON funeral practice in many cultures. Today, our embalmers WIRE the jaw shut and sew the eyes shut. Many ancient bodies have been found with just such an over the top binding.
Now, think of a resurrected man, climbing off of the stone shelf where he had been laying reaching up and pulling the binding holding his mouth shut off and tossing it aside. Someone who is merely stealing the body would not have to do this (although they might) but a living person wanting to open his mouth would.
Also, if Jesus' head was wrapped like you describe, then His beard would have been TUCKED UP TIGHT against His face.
No, Race, the rolled up cloth would have probably been only an inch or so in diamter and would have fit UNDER the beard and BEHIND the forelocks of hair. It would have pushed both a bit upward (from the supine positon) and pressed them more strongly against the covering shroud.
See?