@isaackuo @cstross The problem is that both theories are equally likely.
... Dyson was trying to make the larger point of "... and that likelihood is so low we should stop wasting time on this" but the astronomy community responded with "But what if instead we consider both options?"
Honestly, it's one of my favorite self-owns in astronomy history. 😉
If memory serves, there's also a story about Einstein thinking black holes were unlikely because he'd made some solid progress on relativity with the thought-tool of "If this were possible, wouldn't we have seen it already?" Since nobody had noticed holes in space yet, he originally discounted gravitational singularities as a neat quirk of the math that was unlikely to be real.
... I think he lived long enough to bear witness to their discovery and changed his mind in light of new evidence.
(I think Dyson may also have discounted the secondary effect / "scientific head-fake": even if finding aliens is improbable, staring really hard at radio signals or infrared sources could lead to finding other cool stuff, so it's still worth doing. If the way we get there is "get folks hyped enough about ET to throw money at us," whatever works!)