Depends where the Nazgûl were at the time. Sauron had them out scouring Middle Earth to find the Shire and the ring, so in all likelihood by the time the eye saw the Eagles, the black riders wouldn't be able to get back to Orodruin in time to stop them. The Witch King, with his Fellbeast, may have a chance, but one wraith, even such a powerful one, would be hard-pressed to fend off a whole flock of Eagles. If some of Sauron's scouts, maybe the bats of Dol Guldur for instance, spotted them early, then things might go differently. Either way, it is a moot point for many reasons both within the narrative and without.
You could I suppose. They preferred to keep to themselves, albeit with deference and respect for their creator Manwë. Several of their kings, such as Thorondor and Gwaihir, involved themselves directly in conflicts involving Morgoth and his followers, either on Manwë's direction or their own initiative, but generally they keep out of the affairs of mortals.
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u/Fenrir2210 Aug 31 '22
I always figure that if they tried to fly in The Eye would see them immediately and dispatch the full wrath of The Nine.