https://www.bbc.co.uk/news/world-middle-east-55815820
I'm guessing the photo is a modern recreation rather than the actual sample.
I think it's one of the originals:
QuoteSample no. 004 was selected from a small group of pink-purplish wool fibers (Fig 2), which were probably ripped from a textile that did not survive.
From the original article (https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0245897#:~:text=Early%20iron%20age%20textiles%20from,both%20plant%20and%20animal%20sources.&text=The%20finds%20from%20Timna%20currently,purple%20in%20the%20Southern%20Levant)
So they really are original.
Heavens.
I seem to recall that the sea shells which the purple dye comes from were found in significant quantities around/near the Arsuf castle remains (built on previously occupied site, back to Phoenician).