The information that Satoshi-kun might've headed to Tokyo hasn't been verified.
It started as follows.
A young man came to the lost and found window, looking for his wallet.
The station employee asked him to write down his name on the form.
Then the young man started writing Houjou as his name, but he stopped in the middle, crumpled the form, and wrote a totally different name on another form.
Another station employee witnessed a similar-looking young man rushing into the train heading to Tokyo.
The employee from the lost and found
and the employee who was on the platform
talked about the suspicious young man in the locker room.
...That was all.
The wallet of the man named Houjou was never reported as found to the lost and found office.