The news comes via the American-arm of the PlayStation Blog, meaning the news relates to the US PlayStation Store. There's an unlikely chance, therefore, that the demos could avoid Europe entirely. But worry not, readers, as it's extremely simple to open a North American account.
Update @ 12:13AM: Square Enix has just confirmed to us that the Final Fantasy XIII-2 demo is coming to Europe on January 11th. Americans can snatch it a day earlier on January 10th.