It was bad enough to only pick a single sample spot for the C-14 dating. But, if you’re going to pick a single spot, you should at least sample from the least contaminated section. Instead, it was sampled from one of the most contaminated sections on the shroud.
When the TS was on public exhibitions in the past, we know they often held it to display it. And the Raes corner would’ve been a place they held it. The following illustrate how they held it:
(Photos are from the Russ Breault presentation at the 2017 The Shroud of Turin Conference in Pasco, WA.)
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