Non-cosmetic rhinoplasty - what condition is being described & surgery recommended?

If you are having breathing problems and don’t want to change the appearance of your nose I don’t think that’s the surgeon for you. That surgeon sounds like he wants to do a cosmetic rhinoplasty. Go to an ENT surgeon who specializes in breathing issues. It sounds like you went to someone who does cosmetic work. Your problem is probably on the inside

Based on this description, very likely that with inhalation your nasal walls (wings) collapse and obstruct passage of air. The airway needs to be reinforced with framework of cartilage grafts which will create stability and prevent nasal wall collapse. What exactly needs to be done can be decided only on the basis of in-person evaluation. Reconstruction with cartilage graft is usually done in the single stage. Hope this helps.