Lofthouse Clone?

I've been feverishly working on trying to produce a clone of those simple yet mysterious famous frosted cookies you find in HyVee, Walmart, etc. The closest I've come to is this recipe. I substituted powdered sugar for the granulated sugar and added one teaspoon of cream of tartar. I also used this recipe for the frosting. My kids commented I'm getting VERY CLOSE, but the frosting isn't there yet. Oh well! I wonder when Todd Wilber of Top Secret Recipes will take this on as a challenge. It sure would make my life easier. Since I can't even look at these cookies without gaining a pound, I always dump my product onto our local cookie monster, my boss--Mrs. H. She always welcomes a cookie, or more, two her office.