In the standard method the speed and heading of the ship must be tightly controlled, car ships in the wind don’t like that.
Instead this way only the downwind motion of a single point on the ship has to be controlled, the point at the hawsepipe.
If the wind is at 90 degrees, from 90 to 30 degrees the downwind speed is moderated with the thruster. From 30 to 0 (wind dead ahead) the hawsepipe downwind speed is controlled with the engine (at first with the wheel hard over).
The function of the thruster and engine change during the operation. At first the engine is used to keep the hawsepipe point (more or less) directly downwind, later the engine is used to control the downwind speed and the thruster is used to keep the hawsepipe point aligned.
Meanwhile the wind is keeping the whole show on the road, tight control is not needed, basically the ship is getting set downwind and the mate pays out chain, just need to get the ship head into the wind while the mate gets his 7 shots out.