This video is incorrect as it doesn't account for terminal velocity (TV).
When drilled, the hole will fill with air.
Avg human TV is 200km/h
Earth radius = 6,378km.
At TV it will take 31 hours & 53 minutes to reach the center / core. Even this simple math is wrong as it doesn't account for the fact that gravity reduces closer to the core and the falling speed would reduce as a result (aka same air resistance but less gravity means lower terminal velocity).
You would overshoot the center but definitely not emerge close to the crust on the other side.