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Potentially yes. It's a common tactic, if someone who's a threat on GC goes up the road, send your second best placed rider with him, and tell him to sit on.
Sky can't win in a race like this, if they don't win they'll get criticised for not taking it seriously, if they do win, they'll get criticised for being greedy.
I doubt very much that Froome went there for free, so if the race sponsors ponied up the cash for him to race they'll have wanted him to make an effort, rather than rolling in with the laughing group every day.
I did find that a little odd..
Was there any tactical logic to Chris taking it other than because he could - was there someone in the break who would have taken the race lead if he hadn't?