I'm not grabbing any numbers out of the air - all of it is taken from the live timing app that I've just rewatched. You're clearly clueless about how turbulent air can effect these cars if you think that Jenson's aero wouldn't be effected when he spent most of his time around 1 second behind Msc. We've heard teams talk about dirty air effecting cars that are up to 2 seconds behind.
So you honestly think that Jenson was free to just think about putting in the lap times and wasn't concerned about what was going on behind? We didn't get to see a lot of what was going on in the first few laps because of FOM's crazy habit of showing dozens of repeats of the start when the first couple of laps are running. I'm not going to carry on discussing this with you because you've decided what you think. Personally, I remain convinced that had button been 2nd on the grid he wouldn't've lost so much time and would've been closer to nico at the first round of pitstops.
It also appears that you have decided what you think, but if you really think Button was faster yet
could not drive within 1 second of Schumacher because of dirty air, then how could Raikkonen stay within 6 tenths of Button for basically the whole first stint? This alone doesn't add up. So obviously I'm still of the opinion that Button was not faster than Schumacher thus did not lose any time driving behind him until his pit stop. And you saying I'm clueless about this doesn't really help your argument either.
And on the second point, of course Button looked in his mirrors, but just like us as viewers, he noticed Raikkonen was never in any position to actually attack him. In that case you just keep driving normal lines so your pace isn't affected. Seems pretty clear to me. Either way, I don't mind if I don't convince you.