This wouldn't really solve the paradox as it implies there are zero type 0, 1, 2 and 3 civilizations that we can detect in our Universe, which is still statistically odd.
There was a HN thread (probably several) not too long ago about someone who did a better analysis of the Drake equation with probability distributions rather than point estimates and found that given that improved methodology, it isn't odd that we see nobody - as it is quite likely we are either the first civilization in the universe or the only one within a galaxy or more. No new facts were used, only a sensible synthesis of the known information.