  We show that the theory $T_{\log}$ of the asymptotic couple of the field of
logarithmic transseries is distal. As distal theories are NIP (= the
non-independence property), this provides a new proof that $T_{\log}$ is NIP.
Finally, we show that $T_{\log}$ is not strongly dependent, and in particular,
it is not $\operatorname{dp}$-minimal and it does not have finite
$\operatorname{dp}$-rank.
