Mxsmanic wrote:
The particular circumstances in which you can safely turn around after
a total power loss on takeoff are very rare, irrespective of
situational awareness or training.

The above is incorrect.

Demonstration of unpowered 180 degree turnback to the takeoff airfield from
altitudes as low as 200 ft was required of my fixed wing student pilot
training curriculum. I've done it in a real aircraft.

My experience was not rare, either. All the CFIs I've flown with have done
it.