The hypothesis (that E&E are simply Elves and have no choice) founders on the data:
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These children were three parts Elven-race, but the doom spoken at their birth was that they should live even as Elves so long as their father remained in Middle-earth; but if he departed they should have then the choice either to pass over the Sea with him, or to become mortal, if they remained behind.
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But to the children of Elrond a choice was also appointed: to pass with him from the circles of the world; or if they remained, to become mortal and die in Middle-earth.
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'... and the choice must soon be laid on your (Elrond's) children, to part either with you or with Middle-earth'
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The end of (Elrond's) sons, Elladan and Elrohir, is not told: they delay their choice, and remain for a while.
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Moreover, Manwe's declaration cited earlier, although admittedly written before Elrond's children were invented, noetheless undergirds a fundamental dogma of Tolkien's 'theology:' the Gift of Men can never be taken away. Elrond's children, since they have Mannish blood, would by default be Men but for their special dispensation; and in all events they must have the option of becoming fully Men.
It doesn't matter that E&E are 78% Elvish by descent- the Mannish element in their lineage cannot be ignored or denied, save by their own free choice.