Elrond's big mistake?

[peony_foxburr]

Frodo also assumed that Sam might some day pass over the Sea to the Undying Lands:
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"Where are you going, Master?" cried Sam, though at last he understood what was happening.

"To the Havens, Sam," said Frodo.

"And I can't come."

"No, Sam. Not yet, anyway, not further than the Havens. Though you too were a Ring-bearer, if only for a little while. Your time may come."
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I think that the preponderance of the evidence is that Sam did eventually go to the Undying Lands. I've speculated to myself that, to Frodo, time would barely seem to pass before he was re-united with Sam; and that once he was there, a very old man, there would be little reason for them to linger, and so they would pass on together to wherever Rosie awaited them. But that's a topic for another thread...