So, I have just played it again for a few rounds.
I think I misjudged it before. The one thing I had trouble with was the shooting direction. Now I know why: I often tried to turn say 90° and also shoot at the same instant. In such cases, my shots usually went according to the previous walking direction, not the one I thought I just turned to. Hope this makes sense.
In the last few rounds, I consciously walked a step into the direction I wanted to shoot first, and only then fired a shot. Worked great this way!
Looks like it was more an issue with me than with your game controls after all ;-)