Will insurance cover surgery for even the slightest deviated septum?

I went to the doctor to get my nose checked because it tilts slightly to the left and really bothers me. I do not have much of a breathing problem unless I really focus on how I can breathe through my right nostril much better than my left. However, it's very subtle. The doctor told me I have a slight deviated septum only at the tip of my nose so surgery is not necessary since it does not impair my breathing. Would insurance cover surgery even if it is very minor?