While I agree completely with the premise that if intelligent technological alien life did exist within signals reach of our own location in the universe it would likely not use radio waves as a primary means of communication, I have to point out that it is vanishingly improbable to imagine that such life does exist within the spacetime limits that pertain.

First of all, most intelligent life will never be technological. This is because most life almost certainly is confined to liquid environments, and you can't smelt ore in liquid. We have lots of intelligent life on Earth: corvids, cetaceans, cephalopods - but none will ever be technological.

Secondly, the idea of a species existing for "billions" of Earth-years is beyond implausible. We see from our own experience that 99.9% of species become extinct within a few million years (usually much less). And if we're anything to go by, technological species develop the capacity for self-extinction and are thus highly unlikely to persist for long after they develop WMDs. We ourselves are likely to destroy modern civilization before the end of the next century, if not before.

Thirdly, most stars are not capable of supporting life even if we expand "the Goldilocks Zone" by an order of magnitude to take into account different liquids and different biology. This is a basic equation of energy, and it's non-trivial.

Finally, spacetime is vast. We'll be here for less than the blink of an eye in cosmological terms, so the chances of us overlapping with another technological species within a reasonable signals distance is effectively zero.

In the end, the Fermi paradox is merely another example of inadequate assessment of key variables leading to a wild mis-estimation of probability. We humans do this all the time and seem never to learn to do better.