This is a known issue. The very same issue that raised it's head with regard to whether syphilis came from the new world to the old, or vice versa. It is known that a seafood diet will skew carbon dating. Feel free to tell us all what exactly was the diet of the tablecloth. I cannot see what diet a cloth might have had. As far as I know, the tablecloth of turin had no diet whatsoever.
A few observations:
1. High-quality gesso was more often made with marble dust, ground very fine, than with chalk. The end result is whiter, and more durable, with a far better "tooth", than chalk or gypsum gesso (partner went through a period of making historic ikon-analogues with traditional media, including rabbit-skin sizing and egg-yolk tempera--as "domestic goddess and artwright", I got to learn how to do all the period-appropriate mixing, grinding, and conching).
2. Whether chalk, gypsum, or marble, gesso contamination would (if, as has been pointed out)
not removed by the cleaning protocol) skew the results of
14C dating in the direction of making the tested sample seem
older than it actually is. In other words, if anything, claiming gesso contamination means that the CIQ is
newer than the mid-12
th Century CE. The CIQ was "discovered", displayed, and then denounced as a fraud by 1389-1390 CE, so it is, in fact, manifestly not more recent than that.
3. What
authentisti do not seem to realize is the greater significance of gesso. If the CaCO
3 found in significant amounts on the CIQ is, in fact, gesso, it clearly indicates that the "image" is a
painting. The purpose of gesso (and, to a lesser extent, size) is to cover a textured, porous surface (such as woven linen) with a thin, smooth, non-porous layer through which liquid pigments would not bleed, and in which liquid pigments would not "feather".
This is the issue I raised, more than a year ago, about sizing. The presence of gesso in the CIQ strongly indicates that the linen was
painted , and not earlier than the 11
th Century CE or so.
Further, even if CaCO
3-based sizing had been in common use in the 1
st Century CE, the very qualities that make gesso so useful for making cloth a suitable surface for painting mean that sized cloth would be singularly
unsuitable for wrapping a freshly-washed body.