Pilots are not dying during the takeoff phase from EFATO's they typically kill themselves by hitting something on the departure path or just flying back into the ground.
The "black hole" effect is very real and there can be a powerful illusion that the nose is rising right after takeoff. This causes the pilot to unconsciously pitch down and results in the plane stop climbing or even descending. This effect is particularly noticeable if there are no lighted area's on your departure path. It is vital that you cross check your AI to ensure you are maintaining the proper pitch attitude.
As. for the EFATO scenario, we'll 80 % of all engine failures are caused by the pilot so don't be one of them !
If the engine fails the key is to keep control of the aircraft. Stats show that 93 % of all crashes had no fatalities if the aircraft was approximately wings level and in a level or nose up pitch attitude when it impacted the ground from what ever cause. The killer crashed are hits in a steep nose down and/or banked attitude.