I know people use the unsweetened KoolAid packet (that makes 2 quarts) to flavor their sweetened Skeeter Pee. I have talked to people who use 1 packet per gallon and others who use 2 packets per gallon--and they all enjoy the flavor.
Your recipe for KoolAid wine makes me think about a Canadian product called "Wonder Wine",
http://www.wonderwine.com/, and commonly found on eBay. It is a powdered mix that you reconstitute with water, add sugar (so much for dry, so much for sweet) and add the yeast.
I find it interesting all the experiments we are willing to do--all in the name of winemaking. When my husband and I ventured into an area grocery store the day after Christmas I walked out with just about every box of chocolate covered cherries they had (the ones with the white gooey filling). He told me he did not even know I liked those. Told him they are okay but I then told him I was making wine from them. His response was "Seriously?". I am pleased to report I started that wine in late April and it cleared just this week, has a natural residual sugar, and is absolutely delicious!!! See--the strange things we do.
Keep us posted.