Yes this is true, but the issue i am focusing on is the matter of the hards being slower or faster. Even if alonso came out ahead, he would still have to struggle on his out lap with the tyres not up to temperature to fend of should be faster Button.
Button did not strike at that time.
[youtube]
http://www.youtube.com/watch?v=6wzkmrY35zw[/youtube]
check 2:27 into the video, Alonso had a better exit on what was supposed to be colder tyres, Button was sliding around on already warm tyres. So there are a lot of little factors that cost him the race, it wasn't the teams fault.
They all had a slower hard tyre on the outlap, that got faster on the lap after that.
As Massa said in the post race conference, he had the same problems as Button on the outlap.
Taking into account the fact that Button had to save fuel, losing even more time to Alonso, no amount of thinking from him could save him the race on such a straight forward track and with constant weather. In this case speed trumps thinking or scheming. Run as fast as you can and come in when the team calls you.