It appears, after a number of hints from Radiohead in recent interviews, they have actually been approached by the BBC's Winter Olympic coverage team to contirbute music for its programmes.
They've asked to use Amnesiac's "I Might Be Wrong" for the coverage's theme music.
Radiohead have pronounced that they would love to contribute to the Olympic charity, but would be forced to decline if the music was placed in a programme that was being sponsored. (ie..in the Cadbury's Coronation Street style!)
Unfortunately, there are no plans for them to cover the Ski Sunday theme...Some dreams just never come true.