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I just did an internet search of "Karova Kozha strop" and some images were given. They all had the stamping on the perforated side as this one does. So I will take back my mistakenly stamped...

I agree with this. The cross-hatched side may be there to make it more resistant to humidity fluctuations, preventing cupping on the front-side. Looks like the cross-hatched back-side may have been...