No sane person will argue that all the artificial sugar is good. So cutting that out will be good with any sort of diet you like.
One thing to look out for are all the hidden sugars. Sure, soda, candy etc. have sugar and everyone knows that. But look at all the salad dressings, meat sauces - they all contain tons of sugar,... especially if you eat out you will get a lot of sugar with meat or whatever you actually order. As a general rule the more processed the more sugar they add. Low-fat food is even worse since the fat (that had the taste) was removed and the food would taste like cardboard, so they added sugar.