Interesting point made by somebody on the BBC website. I'm not sure Willey would have been as effective as he's not as quick but would certainly have added variety:
Starc, Amir, Shaheen, Behrendorff and the rest. All these left arm fast bowlers picking up wickets for fun, and England leave theirs at home for a spinner that won't even play a game. Despite him being a key player in this team for years...