I kind of wonder if billg doesn't want the FBI bringing up all the previous work that Microsoft has done installing backdoors in their products for the US Government:
http://www.washingtonsblog.com/2013/06/microsoft-programmed-...
http://www.washingtonsblog.com/2013/06/microsoft-programmed-...
Mr. Cook, on the other hand, I truly feel is using this issue for a little free (minus legal fees) publicity, and to tell the FBI not to make such a big, public stink if they want cooperation. Like a contract negotiation.
It's easy to believe in someone who says what we want to hear, but necessary to question their motivations.
Honne and tatemae, pure and simple.