This is so wrong on many accounts.
My friend Mint is a very distinguished Bichon Frisee who is follicularily challenged. He walks two miles a day and in the winter he wears a coat (so I'm told). I can't imagine him putting up with that stuff.
I have a full body of baby basset fur, but I say, go with the bald look, you'll be happier in the long run Mr. Dog.