It's now avoiding the Faroe Islands, where hundreds of whales are killed in grindadraps (or drive hunts) each summer. The move has been applauded by whale activists, who say Disney is leading the way in making responsible decisions, like avoiding areas where whaling is practiced.
Disney sent a letter to all passengers announcing the change. No information was released about the reason behind the modification, but it's likely that passengers - many of whom are travelling with children - would be worried about witnessing a whale slaughter, which dramatically colours the harbours red.
...meanwhile the 2014 grindadrap season (usually June-October) has started early. On Sunday 18 May, 19 pilot whales were slaughtered along the foreshore of Fuglafjørður, a picturesque fishing town on Eysturoy’s east coast in the Faroe Islands. About 20 boats participated.
UPDATE: 31 Aug.2014 - Danish media reports that the Faroe Islands' tourism industry is being hurt by whaling. Hapag Lloyd Cruises is threatening to cancel its routes to the Faroes while German cruise company AIDA has already done so.
UPDATE: 09 Aug.2015 - The Faroe Islands' tourism industry has been hit again. German company cruise ship company AIDA has announced that it will cancel three trips to Klaksvík this summer.
AIDA cited the new Pilot Whale Act (2015) for its decision: the Act says tourists must report all sightings of whales and dolphins, so the cetaceans can be slaughtered in the infamous grindadráp. Visitors who do not comply can face penalties of up to 3,000 euros, and imprisonment of two years. While obviously aimed directly at protestors, it has also backfired on the tourism industry.