Definitely see what your saying, I didn't think about the cleaner after dilution. It has been really hot and humid here lately and I've noticed a difference in the clay, I'll try what you recommended with the warm water.TAW is a citrus based cleaner, even diluted still IMO its too harsh to use for clay lube, especially because you need to rub the product into the finish.... I can definitely see this causing some haze or "runs" on clear coats that are soft. I have a feeling that TAW will eat through claybars quicker than a traditional lube will also.
I use ONR and it works great, sometimes I get sticking issues not because of the lube but because of the bar itself. If a bar is sitting for a while in a humid place it will get grabby on paint.
Run it under some hot water and mold it around then run it under some cool water before you use it. If the clay is sticking to your hand it will probably get grabby on the paint. See if that works
The claybar held up perfectly, and there was no marring/hazing left behind (checked with Fenix and halogens), but I'll see how ONR fairs this afternoon.