I had a twin that would only turn towards the dead engine. (if it was the left) Often, I only needed to relax the rudder to turn towards the dead engine. When it came time to roll level again, I would sometimes have to reduce power for just a second. Not all the way. And when the wings were level I could gently roll the throttle wide open again.
You can find yourself in a bizzarre situation: the plane headed away from you.....you are unable to turn in the direction you want........There may be obstacles preventing you from turning the other direction. The answer often was to reduce power. It isn't natural. Often you are low and slow and the last thing in the world you want to do is reduce power. It just doesn't pop into your head to do so. But it has saved my bacon a few times and allowed me to turn in the direction that I needed to turn.