Effects of the Rings of Power

[Tinuviel of Denton]

All right, if there is a similar topic out there, the search function wasn't working for me (my computer's funny that way) and I beg your indulgence.

In FotR, when Gandalf is explaining to Frodo what the Ring is, he says something about the Rings of Power that I suddenly found interesting.

A mortal, Frodo, who keeps one of the Great Rings, does not die, but he does not grow or obtain more life, her merely continues, until at last every minute is a weariness. And if he often uses the Ring to make himself invisible, he fades: he becomes in the end invisible permanently, and walks in the twilight under the eye of the deark power that rules the Rings. Yes, sooner or later--later, if he is strong or well-meaning to begin with--sooner or later the dark power will devour him.

Now, I was wondering if these effects would include the Three, or would they only include the Nine, the Seven and the One because Sauron had a hand in and/or made them?