If you require bigger angles to make the same turn as your competitors you are not only slower, but you are also further in the back seat. This is just a very plain fact. Bigger angles only says you are dependent on the skis side cut, and you are not on the center of the ski. If you study, Gross, Hirscher and Christofferson, the 3 fastest in slalom, they don't need the big angles in slalom because their feet are closer, and they keep their feet under their hips to pressure the tips.
http://harbskisysems.blogspot.com/2015/08/gross-could-be-best-slalom-skier-in-2016.html