Nope. Sun dogs are caused by refraction, not reflection.
So you've been told.
Yes, of course as I've been "told". Is there a problem with this? Don't
you accept anything you've been told by experts in their fields?
Thousands of scientists have written identical explanations for the sun dogs phenomena over the past several centuries. Are you saying they're all wrong?
And as you're claiming they're caused by "reflection"—rather than by refraction—can you please cite a reference to support this claim? One will be fine.