What becomes the issue is the airflow over the rudder and stabilizer. If you lose enough airflow, there is no ability in the rudder to counteract the high torque from the operating engine, and thus you roll over and pancake.
Before V1, you reject.
After V1, you do the engine out procedure and return to the airport.
All passenger certified twins will follow those guidelines as far as I know.
ATR72-600 meets all requirements for one engine climbout.
It can climb to and maintain FL110 with one engine.
He was too low, too slow—Classic Tip Stall, fell off the “beachball”
https://www.youtube.com/watch?v=z_mMd13iE5g
This is an RC airplane but the aerodynamics are the same.
I think some have mentioned that in the picture in post #14, that it appears that right prop is turning while the left is not. If true, it would cause exactly the scenario depicted.