The Farah conjecture on random twins of unstable theories

Let $T$ be a first-order countable unstable theory. Two models $M$ and $N$ of $T$ are random twins if they are non-isomorphic but become isomorphic after the universe is extended by adding a random real. The Farah conjecture. There are non-isomorphic models $M,N$ of $T$ which are random twins. The conjecture asks whether every first-order countable unstable theory has such a pair of models; the supplied text gives no indication that this has been proved or refuted.