[Gordis]

Originally Posted by Legate of Amon Lanc

But that does not mean that all of a sudden, the things that were not really closely tied to the Ring (like the Nazgul) would have crumbled into dust in a minute. Bilbo (and Gollum) would just start to age even faster now than usual, true, but I do not think that it would be so dramatic.

I have to disagree. IMO, Bilbo and Gollum were much more closely tied to the One Ring than the nazgul. Sauron himself was tied to the One. The nazgul were primarily tied to the Nine, not the One. It were the Nine Rings that made them wraiths. It was the One that had prolonged Gollum's life far beyond his normal life span.

The One had melted, and everything done by its power directly crumbled immediately: Sauron became disembodied, Barad-Dur fell to ruin, Bilbo has become 128 years old all of a sudden +Gollum would have turned to dust, had he not fallen down into the lava.

The Three, the rest of the Seven and the Nine Rings were not melted, they only started to lose there power: slower or faster, but not at once. The golden Wood hasn't disappeared in a cloud of yellow smoke, it simply started to fade fast, as the power that had supported it, the Power of Nenya, was passing away.

What about the nazgul?

And into the heart of the storm, with a cry that pierced all other sounds, tearing the clouds asunder, the Nazgûl came, shooting like flaming bolts, as caught in the fiery ruin of hill and sky they crackled, withered, and went out. LOTR

The nazgul perished in the explosion of Orodruin, because they happened to be quite close to the volcano. What if they were a bit further away or already in Sammath Naur?

My answer is: they wouldn't have died immediately. This conclusion is supported by Tolkien's earlier outlines where the nazgul are very much alive, bodies and all, after the destruction of the Ring:

Perhaps better would be to make Gollum repent in a way. He is utterly wretched, and commits suicide. Gollum has it, he cried. No one else shall have it. I will destroy you all. He leaps into crack. Fire goes mad. Frodo is like to be destroyed.

Nazgûl shape at the door. Frodo is caught in the fire-chamber and cannot get out!

"Here we all end together," said the Ring Wraith.

Frodo is too weary and lifeless to say nay.

You first, said a voice, and Sam (with Sting?) stabs the Black Rider from behind.

Frodo and Sam escape and flee down mountain-side. But they could not escape the running molten lava. They see Eagles driving the Nazgûl. Eagles rescue them.

- The Story of Sam and Frodo in Mordor, Version I, Sauron Defeated, p. 5

But note: the nazgul sounds suicidal: "Here we all end together," he says. He knows he has little left to live. With the destruction of the Ruling Ring, the power of the Nine would swiftly wane, so the Nazgûl were doomed all the same. Sooner or later, the Nine Rings would loose their power and that's how the Nazgûl would end.

Originally Posted by Legate of Amon Lanc

All right, I more or less agree with what you say about Gollum in the end - his ending was really probably the most, well, fitting, or how to put it - one still has to consider that it would be really weird for him to survive;

Yes, I agree.