For all Clarke's imagination, it is a myth that a good captain can transform a team's performance on the field. A wicket snared via an unexpected silly mid-on might look clever but, in the long run, you are always better off with good bowlers. Glenn McGrath could have been effective with eight men on the park.
There is a parallel here with the myth of the football manager as saviour. In their excellent book, Why England Lose, Simon Kuper and Stefan Szymanski show that Premier League teams' performances are determined almost entirely by their wage bill.
Managers, meanwhile, are the most disposable part of the operation. "They appear to add so little value that they could be replaced by stuffed teddy bears, without the club's league position changing."
Are Kuper and Szymanski exaggerating for effect? Perhaps a little. But their point is valid. While all those halftime substitutions and 3-5-2 formations might seem important on the day, they even out over the long term, just as clever field placings do.
This is not to say that the Australians should simply shrug their shoulders and say "Clarke or Bailey - what's the difference?" A captain's contribution to any individual match might be limited, but his leadership qualities are crucial in the long term, especially on those character-building three-month tours. It is he, far more than the coach or manager, who shapes the culture of the dressing room.
No one doubts that Nasser Hussain changed England. When he was appointed in 1999, the players were notoriously divided and selfish, but he sorted out the trouble-makers and introduced a sense of pride. Then, when Hussain's control-freakery began to stifle the team's creativity, Michael Vaughan took over and won the 2005 Ashes with a more ambitious, free-spirited brand of cricket.
So, while you cannot blame Clarke for the fact that his team-mates keep missing full tosses or bowling wides (at the moment, Australia's playing resources are nowhere near what Ponting enjoyed as captain), you can point to the numerous rifts and mutinies that have plagued the team this year, and ask whether they are pulling together when it matters.
A sense of trust and loyalty - something Cook clearly engenders among his charges - may not be as easy to spot from the commentary box as a quirky formation in the slips cordon. But it matters a hell of a lot more in the long run.
Late last night, India were 41 for 2 in the first innings of the third ODI against Australia.