Straw man or not, it's true, even if it appears to pervert the laws of logic. The fact is, the Cabinet are experts. Thy tell the Prez what is the best course of action, and he makes the final call.
When Andy Card told Bush what he did, it was implied they had no info, other than a second plane had struck the other tower. They weren't even aware of the other planes, at that point, that's how little info they had at their disposal. So, Andy's on the job, info-gathering. How would George best serve his nation? By relaxing and not wigging out. I mean, how was he to react, when the culprits were still unknown and the dust hadn't even settled? There were planes still unaccounted for, so it was still going on. What was he supposed to do, when he had no real idea what was occurring?
If his remarks don't jibe 100%, keep in mind how crazy that day was, Adam. Even for normal people, like myself; I'm not entirely certain I could name everyone I spoke to that day about it, much less the order I spoke to them. Forget about verbatim quotes of our conversations, because it's impossible.
It's easy to believe his details are a bit off, without a hidden agenda being remotely involved.