But your cohorts claim there is an identical facial image on the 'original' facecloth as on the shroud...It's gettin' harder to know which spin to disbelieve the most...
No one that I know of has made such a claim... Not ONE.
Perhaps you are thinking of Veronica Veil? The cloth that Jesus supposedly pressed his face to on the Via Dolorosa and miraculously left an impression of his visage on the maiden's veil? There are three cloths that claim that title... and none of them are in the running for the face cloth from the tomb.
That is an entirely different cloth and different provenance than the tomb grave clothes than the Sudarium of Oviedo, which is the so called "face cloth" of the tomb. It has blood stains that match with over 100 points of congruence with the blood stains on the Shroud, but no image.