Nonsense. If Nemesis actually existed, it's gravitational field alone would have given it away by now. It's just like Nibiru... I love the ideas, but sadly real science must prevail.
One would think, as a significant mass would severely warp the outer Solar System even if it were a light year out. And if it were that far out, the orbit would be unstable and perturbed by every star that's passed over the last four billion years. Which is a lot of them, some quite closely even in relatively recent history (astronomically speaking).
If not a significant enough mass, it'd be even more warpable by exterior forces--look at poor Pluto, kicked around and abused by Neptune.
If a significant enough mass to resist even star mass interference, we'd see it...because it would be a small star itself.