Hmmmmm, I just checked my variety of packets, and I know someone else who used CL successfully in this recipe. Some of the mixes, such as CL, DO contain aspartame, and also acesulfame-K (a blend is pretty standard)...and it's a very short cooking time, so that probably explains why they got sweetening from their packet of CL as even aspartame takes a bit of time to lose its sweet from heat, or Equal packets wouldn't have worked in North America's coffee and beverages as long as it has.
My Peach version used Western Family, a generic brand, that IS sweetened with sucralose, as are the newer model Nestea mixes, and even a box of GSC Gourmet brand (I think that's a Walmart house brand) of Apple Cranberry Tea (which also contains a blend, the sucralose and the acesulfame-K).
Each and every brand above contains Maltodextrin and/or Dextrose and/or Corn Dextrin and/or Corn Syrup Solids. Not so good. Each of them also declares 1g carb per serving, with rounding that's technically 1.49g carb that could be made up of those sugars/products max per "serving", including the singles packets that's <4.5g per recipe. So I guess it depends on just how sensitive you (or anyone else with a corn sensitivity) are to the corn products whether you can tolerate this recipe or not.
BTW, I just checked a late model
Unsweetened Koolaid packet (that declares 0g carb per serving but is a >7g total weight packet also containing Maltodextrin as a carrier/filler for the flavors) and it makes 2 quarts/liters and requires a Cup of "sugar". If granular Splenda is used, that's 24g of carbs from Maltodextrin as the carrier/filler from the Splenda alone, not counting what's in the Koolaid. If the Splenda Quickpack is used, that's 3g of carbs from Dextrose and Maltodextrin.
So those (almost always) corn products are everywhere in artificially sweetened and unsweetened products. And in most retail available sweetener products.
As always, the individual must decide what products they can use or tolerate, and know why.
There's always the chocolate cookie recipe, though
and a vanilla with chocolate chips could be made, just have to choose your sweetener(s) carefully.