That's right - the Sudariam of Oviedo was linked to the cruxification, long after Calvin's time, in the 20th century.
The practice of a single whole body cloth and a seperate face shroud for the interior was not uncommon amongst the Jews at the time.
Calvin could have simply been wrong.
https://www.traveler.com/the-shroud-of-turin-and-sudarium-of-oviedo/