Have you went down any internet rabbit holes only to come out with a deep set existential crisis? If so, what are they?
Well obviously our reality isn’t actually paradoxical. We call it that way because it seems like our estimates and conclusions don’t fit our observed reality:
Based on mathematical estimations (e.g. the Drake equation) it’s pretty unlikely that we’re the only intelligent species in our galaxy. So where is everyone?
Every answer to that question tries to resolve the seeming paradox. And your answer specifically isn’t unheard of either, it’s called the economic explanation. Throwing satellites out is obviously possible, we’ve done it and Voyager 1 will reach another solar system in roughly 30,000 years. So it’s technically possible, just very uneconomic.