[Belegorn]

I think that perhaps the Nine and the One did have effect on the Númenórean population overall for many hundreds of years. In 1697 Sauron got the Rings of Power for the most part, but by the late 20th to the early 21st Centuries a shadow had fallen on Númenor. I think this was the shadow "in which may be the will of Morgoth was at work that still moved in the world." [Akallabêth] This perhaps started with some stray Númenóreans and a couple may have been given a Ring of Power at this time, working their influence on their bearers and those in their sphere of influence. After his capture I think Sauron put the One to heavy use in Númenor as it was his chief means to dominate others. He continued to stoke the fears perhaps stirred first by early infiltrators with the Nine (not all of the Nine of course) who were among the populace in Númenor. Melkor worship, human sacrifice, and not just of lesser Men, but of their own people, the Faithful, abandonment of any regard for the Valar, the attack on Valinor, et cetera. I believe in his letters Tolkien mentioned that it was not an altogether out there idea that Sauron could carry the Ring back from the destruction of Númenor without his body as he and his kind, as spirits, were involved in the shaping of Arda.