The SR-71
fellbeast was flying low when struck by
Legolas's Surface-to-Air
Arrow. Even so, it was distressing to the pilot, who let out a mourful wail while ejecting (I believe), no doubt in anticipation of a painful landing in the undergrowth of
the East bank.
On a somewhat-related note, I believe that the 9 were
sans-rings for the latter part of the 3rd Age, a trick by
Sauron to bind them more closely to his will. In this sense, they were not really in posession of the Rings, so I'm not sure that they would have benefitted from any protection that said rings could confer. The possible exception was the
Witch-King, who was allowed to attack
Minas Tirith with all of his terrifying power. This might be an indication that Sauron loaned the Naz back to his #1 Gul. In any case, even with
the ring, the Witch King was slain by a 'normal'
weapon after the 'spells binding the sinews to his will' were disrupted. I don't see how even ancient Arthedainian swordsmiths could empower a dagger to disrupt the spells of a
ring of power, so I assume that the spells which
Merry disrupted were those of the Witch King himself. The bottom line is that without these spells the Witch King, mightiest of all the
Nazgul, was vulnerable to
Eowyn's
sword. I assume that this went for the other 8 as well.