Yes, I have read the study before. Atkins was a pioneer who got lots of things right, but his program was wrongly promoted as one where you could eat all the fats you wanted so long as you eliminated carbs. Later, when it began to become increasingly clear that prolonged ketosis and elimination of virtually all carbs (including the healthy ones that are essential for good health) were likely to lead to long term health problems, his diet was modified to include healthier recommendations, but the damage had already been done for milions of people who bought into the diet's hype.
I personally would never recommend that anyone try to follow the Atkins diet for anything other than initial weight loss. Prolonged ketosis is not healthy and weight loss achieved from the Atkins diet tends to disappear unless you stay on the diet. On the other hand, unless someone is fighting cancer or some other serious conditions, I would also never recommend that anyone follow a strict vegetarian diet. Unless someone knows what they are doing and plans their diet very carefully, a vegetarian diet will also lead to health problems down the road.