I might give you the Bible... and possibly the Koran... but they are NOT single objects. The Mona Lisa is not studied at all with the depth that the Shroud has been. Nor would I put Shakespeare's plays in that category because we don't have any of the original manuscripts, so they are not single objects. The Dead Sea Scrolls? Nope. There is no question of their provenance... and they are limited as to who gets to even see the originals. The rest are just frivolous... except for the Great Pyramid... where you might have a point... but I would point out that there are three of them that are studied... ;^)>... not to pick nits.
What's the protocol for taking the Shroud out of it's box?
When was the last time it was taken out for scientific study?
What percentage of time does it spend in the lab?