I don't think it would be that bad. If it's safe enough to go on my skin, it's probably safe enough to go on my hair. And also, dawn advertises that it's what is used on wildlife after oil spills to clean the oil off of their fur/wings. I guess that means that it dries pretty clean and isn't hazardous.

I probably won't use that because I have a low poo. But if I needed a cheap clarifying wash I could do worse.
Fine Texture, Normal Porosity, Normal Elasticity. Dyed to brown a few months ago.
Lowpoo:
Trader Joe's TTT Shampoo
Rinse Out:
Yes to Carrots, AOHR, Aubrey Organics Rosemary Peppermint
LI: Yes to Carrots
Stylers: Shea Moisture Curl Enhancing Smoothie, LA Looks Sports, Suave Professionals Captivating Curls Whipped Mousse