AFAIK, there isn't any supporting evidence anywhere for it. The stuff that got buried isn't from that long ago (not by a long shot); there's no evidence that the island was abandoned for a long time, and no human remains have ever been found; the houses appear to have been stripped bare, suggesting that earthquakes tipped off the residents that they'd better get out; there's no literary evidence for any eruption there (apart from the 200 BC eruption); there's not even a blown-out city core -- the caldera is prehistoric.
There is ash and pumice in Egypt tied to Thera and dated 1628BC+- and a tsunami on Crete dated to 1645BC+-.
Sometimes the ice layers are compressed, melt together or completly missing. I think they are a very good indicator but not 'fool-proof.' We'll have more data within the next five years or so...