The turn-back is almost never the right answer at low altitude
When thrust is lost immediately after liftoff, the aircraft is in its highest drag configuration at its lowest energy state. A turn back to the runway requires a reversal of direction that costs altitude the aircraft does not have. Pilots who attempt it often stall in the turn or arrive at the runway too high, too fast, or misaligned. The physics are simple: the turn radius at approach speed, combined with the altitude loss in the turn, almost always exceeds the altitude available. The instinct to return to the known safe place is strong but usually wrong below 1,000 feet AGL.