What Pook said. He sounds to me like a Scot who got on the Received-English track real early, with the occasional throw-back slipping in.
Actually the more I listen to him the less Scots he sounds, but yes there are the vestigial remnants such as the unvoiced 'wh' rather than a voiced 'wh' in words like 'what' and 'where' and the occasional rhotic rather than non-rhotic 'r' - definitely a Scots accent modified by the English Public School system.
I have read somewhere, however, that even the British media have taken him to task for some of his idiosyncratic pronunciations, so maybe at least some of it is simply
Brownspeak.