Your poll is misleading. I see everybody says they would bathe a chin if need be, but I'm the only one that voted yes I would bathe a chin for a nonmedical emergency. A better question would be "Would you bathe a chin regularly for a nonmedical emergency?" In that case no, obviously I wouldn't.
Essentia has to bathe a chin every now and again because he has an issue with his urinary tract where he is constantly covered in pee. Dust bathing doesn't cut it, the only thing that does is giving him a bath. Another for instance would be the chin who jumped in a bowl of soy sauce. You could dust bathe that chin 3 times a day for a year and it's not going to come out unless the fur primes itself out. A water bath in that case would be not only okay, but probably necessary.
Bathing a chin because you are allergic to it, on the other hand is not the most intelligent thing in the world. By continually bathing the chin, you are producing more dander off the skin, not less. As stated over and over, it is rarely ever the chin itself that people are allergic to, it's the dust, the bedding, the hay. Either learn to live with it by taking an antihistamine or rehome the chin with someone who isn't allergic.
As an aside, I knew a woman once, who I assumed was intelligent because she was a very successful broker. I went to her house to talk to her about investing my retirement fund and she had a beautiful rottie there. She would take long pieces of duct tape, stick it to the dog's fur, then yank. The dog would whimper and cry. I asked her WTF she was doing and she said "The fur bothers me. So to keep my precious I have to do this." I told her she what I thought of her and left. *******.