I'm not seeing what you claim to be seeing in that demo video. I see a per-triangle debug view, and a per-cluster debug view. None of that is showing repetition.
If your triangles are at or below the size of a texel, texture values could even be looked up offline and stored in the vertex attributes directly rather than keeping the UV coordinates around, but that may not be a win.
In general, I wouldn't think of Nanite as "one thing". It's a combination of many, many different techniques that add up into some really good technology.