Departed - High Elves?

[Gwaihir the Windlord]

Does a Sinda or other Dark Elf, sailing to Valinor say in the Second, Third or Fourth Ages, become a High Elf under the majesty and light of that land? Or do they not, because they did not see the Light of the Trees? I would have thought they would remain Morquendi, having not seen Aman in it's 'Noontide', but become High Elves because of the still remaining power and wisdom of that land.