I think this is one of those things where if you don't know the answer, you run the risk of causing skin problems. Some dogs tolerate it very well, some ... not so much.
My groomer recommends I use Pantine or White Rain on my Yorkie. I wouldn't experiment with anything else because Yorkies have sensitive skin. Our Ph levels do differ from dogs, however, I have tried some conditioners formulated for dogs, and I was NOT pleased. I spent big money on a wonderful baking soda and oatmeal shampoo and conditioner for dogs. The shampoo is awesome, but the conditioner made my Yorkies hair tangle and flighty.