How loud does it have to get before Cook puts the needs of the team before his stubbornness. I have never rated him as a batsman but his record speaks for itself, clearly he can bat. The reason I don't rate him as a batsman is that he is simply dull. Another view would be that Cook is selfish, Cook bats for himself and his own glories. This dullness translates into his captaincy.
I am 100% sure that bringing in Jos Buttler for the tests was not Cook's decision, and keeping an unfit and out of form Matt Prior was Cook's decision. That is the sort of leadership I see from him, conservative. I would accept over 5 days it can work but it requires the team to outplay the opposition for the majority of the game. A strong leader which Cook is not can inspire a team to seize the initiative in key moments and win a game even if you are not outplaying the opposition.
In limited overs you simply have to seize the initiative in key moments and how often does this happen in the current England team? Limited overs cricket is for flair players be it with the bat, ball or in the field. Even if England lose with a team such as: Roy, Hales, Pietersen, Morgan, Root, Ali, Buttler in the top seven at least the spectators will be entertained! Before a ball is bowled against England the opposition know that they can restrict England to under a run a ball without any effort.
Simply put bring in the mavericks to entertain people at least in all of the limited overs cricket. After all every sport needs to be entertaining to succeed.