Ahhhh....no. Christian faith doesn’t need any supposed relics, real or fake, as a foundation. God’s Word provides the foundation and the real enigma is why anyone today would spend their time pursuing such things.
Seriously, look at it this way. If this were only the image of a corpse on a piece of cloth, from > 1000 years ago, there would not be the frenetic rush to "debunk" it (lest someone give undue attention or credence to Christianity). Instead, there would be gazillions of studies trying to determine the exact *mechanism* of the formation and preservation of the image. Nobody is trying to debunk mummies or the "ice man".
Cheers!
Given that the Scriptures are a kind of relic, you should not be so quick to brush the matter aside.