But I think we might be discussing semantics. When you say "intelligent", you probably have something specific in mind. Which probably boils down to "can do math". But a different intelligence could also grasp the laws of physics at an intuitive level, in the same way a dog can catch a frisbee. Perhaps they can "get" turbulence or higher dimensions,understand a trees as a whole, something we completely fail at.
So to me it's a stretch to think that we can find them by looking at error correcting codes. But then again, I have no better proposal.
Why should there be? Earth itself is getting quieter. Our electronics are more sensitive, for the applications that still use radion. For a lot of things, we are using plain boring fiber-optic (and copper) connections.
Not only are there more lights, we are getting more efficient at producing energy to power them.
I'm not a physicist, but my understanding is that all EM frequencies -- visible light, radio, infrared, etc -- travel away from earth at the same speed (c). Since space has (almost) nothing to slow them down, then they'll just keep going forever. Thus, "strength" (however you want to measure it) is largely irrelevant so long as the signal it produces is detectable apart from all the other outgoing information. So the "light" broadcast from a TV tower is the same as the light from a spotlight at a shopping mall, in terms of its ability to travel through space and get noticed by aliens.
The only exception I can think of would be our atmospheric interference. Some light may penetrate our own cloud layers better than others. So all light may not be created equal, in that sense.
If there are structured radio signals being emitted, it matters not whether or not we understand what the aliens are up to, if it hits a sweetspot between noise and simplicity we can tell it's a signal. And no, "radio waves" aren't the equivalent of "smoke signals", if there are better ways to communicate across space, that would change a lot our understanding of physics. This isn't to say that our understanding is complete, but the default assumption should be that it's very unlikely that there is a better way to communicate long distance.
Compression is an issue in that respect, but that's a different argument.