You gave me a link to a ridiculous statement that points to proof of sending emails and bitcoins from Satoshi to Mike Hearn while Hal was running a marathon.
I think anyone can send emails at their own time and emails can be sent while doing other things if the goal is to disguise their identity.
If you read all of that blog post, you would see that there are more proofs than just a Bitcoin transaction and the marathon participation.
Your reply makes me feeling like you only scroll down a little bit from a blog post title and skip remaining parts of the blog post with more proofs as follow.
Singularity Summit 2010
The IP Address
Satoshi's Email to Martti Malmi (Sirius)
Inconsistencies in Coding Styles
Inconsistencies in Personas
Inconsistencies in Activity Gaps