But not quite. This paradox assumes that a more technologically advanced society would naturally expand it's energy usage and output to the point that it could be detected by us. That is, expand it's energy output to be much more than our civilization's output since we actually couldn't detect a civilization of our own scale if it was on even the nearest star.
So the paradox is entirely speculative. Alienation civilizations might go in all sorts of ways. They might spend their resources on computation (as suggested by the article), they might consciously create low-energy-usage steady-state utopias, they might eventually destroy themselves, they might just never discover a way to attain such high energy usage, they might become so efficient they don't leak energy into space or something else we haven't thought it.
It's not that Fermi is entirely ridiculous to consider but the way is presented, a lot of people wouldn't know that the universe could full of earth-level societies and we wouldn't know and that's a bit annoying.