Locally finite perturbation conjecture for non-transitive tournaments

Let $T$ be a finite tournament. A locally finite perturbation of a tournament is obtained by changing the direction of arcs in a locally finite set. Tournament perturbation conjecture. If $T$ is not transitive, then there exists a countably infinite $T$-free tournament $S_T$ such that every locally finite perturbation of $S_T$ has an induced copy of $T$. The requirement that $T$ is not transitive is necessary because every sufficiently large finite tournament contains arbitrarily large transitive subtournaments; the conjecture proposes an analogue of the paper's graph result for tournaments and remains open.