  The 2pf in single-trace $T\bar T$ holography was computed and analyzed for
operators in the $w=0$ sector in~\cite{Asrat:2017tzd}. Here we present its
immediate generalization to non-zero winding $w$. For long strings, the result
is identical to the one obtained within the TsT/$T\bar T$ approach
in~\cite{Cui:2023jrb} (up to a factor of the reflection coefficient).
