Having one engine lose power still leaves the plane flyable.
There are dozens of things that could have happened to cause that loss of power which would make the plane NOT flyable.
Actually, in normal flight that is true. It is NOT always true on takeoff in a C-130...especially on a #1 engine failure. You might want to take some people who have actually flown the aircraft's word for it.
My boss, who is an O-6, is a 25 year C-130 pilot, took one look at the video and that was his conclusion as well. He explained it like this: On takeoff, there is a LOT of torque. All the props are rotating the same way. If you lose an engine, the aircraft becomes hard to control. If you lose #1...it's REALLy hard to control. It is really easy to overcompensate on rudder controls and it can get out of hand very easily.
If you look at the video, you can see that this is exactly what happened. You can see a little rotation back to the right as the pilot applies right rudder...he is overcompensating and then he probably applies too much left and the torque gets him.
The video is exactly what you would expect to happen on a C-130 with a #1 engine failure on takeoff if the pilot doesn't respond perfectly. That is per a 25 year, combat vet C-130 pilot.
If below Vmc or minimal control speed with loss of engine#1, you are in big trouble on take off losing an engine. You cannot compensate for the directional tug by the dead engine.
I have seen a Beech Dutchess lose an engine on take off and flip on its back and crash steep nose down on its back like this.
I practiced loss of engine control at altitude below Vmc with a Seneca and it was a slow steady tug I could recover from, but this was in thinner air with less power available on the good engine.
Something about these takeoffs that can be real problematic