Didn't know that. Got at page number? Appendix A(I)(v) doesn't menion it.
But Arwen became as a mortal woman, and yet it was not her lot to die until all that she had gained was lost. Read this sentence carefully - it's from The Return of the King, APPENDIX A, I: THE NÛMENOREAN KINGS, (v) HERE FOLLOWS A PART OF THE TALE OF ARAGORN AND ARWEN. Tolkien clearly states that Arwen gained The Gift of Men, but then lost it.
The seed is the word of God. Those by the wayside are they that hear; then cometh the devil, and taketh away the word out of their hearts, lest they should believe and be saved. They on the rock are they, which, when they hear, receive the word with joy; and these have no root, which for a while believe, and in time of temptation fall away. And that which fell among thorns are they, which, when they have heard, go forth, and are choked with cares and riches and pleasures of this life, and bring no fruit to perfection.