I don’t think evangelicals and Roman Catholics are going to see eye to eye on everything anytime soon, and it’s interesting that it’s more the Roman Catholic predilection to reverence the Shroud than it is the evangelical one. The typical evangelical response, if believing it genuine, is “Look what the Lord hath done here too. Praise Him!” Not, “I must fall on my knees before this wondrous Shroud.”
As a point of clarification, catholics do not fall on their knees and "adore" the shroud.
The Western (=Latin) Catholic Church is prone to praying on their knees. In the above image, what an evangelical might misinterpret as "worship" is actually, Latin Rite Catholics kneeling in prayer but doing so, before the shroud. We pray on our knees, but our prayers are always directed to God ... ALWAYS!
For us, the shroud is nothing more than symbolic .. that's it. Like evangelicals, we marvel at the image. At the request of Pope Emeritus Benedict XVI, the shroud was placed on televised public exhibit this year on Good Friday. The purpose in this was to draw catholics into reflection on the image of a crucified man to better assist us in appreciating what our Lord and Savior endured on that particular day. No crucifixion, no resurrection. No resurrection, no salvation.