Before the Industrial Revolution Earth was teeming with biomarkers. After the IR we not only have biomarkers but increasing industrial pollutants in the atmosphere. Such markers are interesting because they are short lived and need replenishment. It's the same reason we look for them.
The sphere advertising the Industrial Revolution is ever expanding. Anyone that can gather spectra of Earth will see it once the light reaches them. So there's no hiding from any aliens that happen to be looking.
But the dark forest theory gets more absurd with the idea that some alien species upon seeing a technological civilization on Earth is them going to hope in their spaceships for a visit. Ignoring entirely that space is fucking huge and physics is unforgiving.
Some alien species that had the capability to fly the obscene distance to Earth would by definition have the capability to fully exploit all the resources in their own solar system (which is gigantic). They could also save themselves the effort of an invasion by exploiting uninhabited solar systems much closer to them (also gigantic). For as awesome as Earth is, it doesn't have any unobtainium some hyper advanced species couldn't find elsewhere.
Any aliens with the capability of visiting us already has the capability to detect us. We can't go un-advertise ourselves.