Earlier quoted context omitted.
> Have you done the calculation how much material is required for such an endeavor? It's a tiny fraction of what's required for a proper Dyson sphere. And we know civilizations can afford those because we can no longer see their stars. For anyone who's hung up on saving nickle, we could do a low budget Worldring² or even thriftier Shadow Squares®. ²Nivenlarry ®Larry Niven
The flaw with your theory is Dyson Spheres don't hide the star. They convert visible light into infrared light. No energy conversion is perfect and always produces waste heat. Dyson Sphere basically looks like a really large star. The infrared star stands out because it is different than normal stars.
These are really good points. I figured the flaw in my theory is we haven't had precision observation long enough for DS to get constructed. Also that if we noticed the disappearance of a star, that we'd attribute it to a DS and not some natural occluding object.