Not counting leafy greens and high water veggies is not at all limited to WW plans or food exchange plans. I was given a 1500 calorie plan by my physician a few years ago. It was in booklet form, with calorie counts and a list of vegetables that didn't have to be counted. Some where completely unlimited like parsley, and lettuce, and some where only unlimited if eaten raw (like celery, carrot and bell pepper). I still have a couple weight loss magazines and books from the 70's that also approach calorie counting this way as well.
It's just an alternative way to approach food counts. When I was calorie counting, I rounded up to the nearest five (for easy counting) and didn't count salad vegetables and really high water low cal veggies. Carrots were on the list of "free" veggies if eaten raw on the calorie counting booklet my doctor gave me, but I did count them raw or cooked, because I loved carrots and would eat quite a lot of them. While counting calories this way, I was losing on average 6 lbs a week, so it certainly wasn't holding back my weight loss.
The scale will tell you if you're kidding yourself.


Once I do change I will be counting my veggies but lets say I was counting and got hungry, I would turn to a bowl of raw broccoli or some carrots and NOT worry that I went over my calorie intake because it would be minimal and it was a good calorie choice.