This is the main reason I've never taken the Fermi paradox seriously. I know it's only supposed to be a thought experiment, but way too many casual readers interpret it as some kind of scientific theory.
There's no paradox at all when you consider how unlikely it is that another civilization reached the same or similar technology level as us in the exact same microscopically thin slice of time that we've had radio. And that's even ignoring all the problems with detecting an alien radio signal in the first place.