I have been doing strictly CAD since I started, although I have read CALP as well.
However,... even in CAD, you are supposed to balance your reward meal.
Page 121 of CAD reads
"Keep in mind, your Reward Meal must be balanced. This is a vital part of the success of the program. Your RM is NOT a binge. It is a healthful combination of foods that provide you with carbohydrates every day without overstimulation of your insulin release all day long. A meal comprised of pizza, potato chips, cookies, cake and ice cream is NOT balanced. That kind of meal has no place in this program."
However, there are other places in the book where they make it sound as though you can eat anything you want for your RM.
My way of doing CAD is that I strive for balance in my RMs, but I don't sweat it. So, I usually have a salad or LC veggies.. but sometimes I don't. And, more often than not, my meals (including dessert) are carb-heavier than perfect balance would dictate. Feel free to look at my journal if you like, as I post my food in there daily.
I guess everyone has to work this the best way for them, that will allow them to lose the weight they want and still make it stick-to-able
Tracy