No, and no one who claims the Shroud is the authentic burial shroud of Jesus says what you say. Shucks, half the scientists working on the scientific research on the Shroud are not even believers.
Christian faith does not depend on relics, but it does depend on the reality of a historical event (or chain of events).
But just as you cherish your great-grandmother’s china or your grandfather’s war medals, all humans everywhere through all time have cherished tangible objects that connect them to cherished persons of the past.
Is that so hard to fathom?
Sadly, for far too many, it seems a concept far beyond their skill set. You stated it very eloquently too, by the way.