The rivalry thing is hype but he should have let Froome go for the win just for good relations (and Froome's relations on twitter).
At the end of the day Froome is a pro and is employed to support Wiggins, he knows this, he will also know that if he pays his dues then, with the amount of talent that he obviously possesses, he will get a shot at the gc with a big team, if not sky. Why should Wiggins do anything if the wife of One of his team-mates is essentially bitching about him and his employers publicly?
At the end of the day Froome is a pro and is employed to support Wiggins, he knows this, he will also know that if he pays his dues then, with the amount of talent that he obviously possesses, he will get a shot at the gc with a big team, if not sky. Why should Wiggins do anything if the wife of One of his team-mates is essentially bitching about him and his employers publicly?