"The eruption took place long after Herodotus wrote about the island."
Actually, concerning the date proposed for the eruption as 1628 BC +-, and the life of Herodotus being 450 BC +-, this would mean that the eruption took place long BEFORE Herodotus wrote about the island. In fact almost 1,200 years before, which means Herodotus might not even have been aware of the event it was so much earlier than his time. There is much interesting information, photos and artwork shown at serches for Akrotiri/Santorini/Thera, that covers some of the controversy, as well as the many beautiful traces that were buried by the earthquake, and later eruption.
Actually, concerning the date proposed for the eruption as 1628 BC +-, and the life of Herodotus being 450 BC +-, this would mean that the eruption took place long BEFORE Herodotus wrote about the island. In fact almost 1,200 years before, which means Herodotus might not even have been aware of the event it was so much earlier than his time.That would be a great argument, but there is no evidence for any such super-eruption, which was invented in the 1930s. There's a surviving ancient source (Strabo) that works out to about 200 BC, and the volcanologist estimate is 197 BC.