  The Lott-Sturm-Villani curvature-dimension condition $\mathsf{CD}(K,N)$
provides a synthetic notion for a metric-measure space to have curvature
bounded from below by $K$ and dimension bounded from above by $N$. It was
proved by Juillet that a large class of \sr manifolds do not satisfy the
$\mathsf{CD}(K,N)$ condition, for any $K\in\mathbb R$ and $N\in(1,\infty)$.
However, his result does not cover the case of almost-Riemannian manifolds. In
this paper, we address the problem of disproving the $\mathsf{CD}$ condition in
this setting, providing a new strategy which allows us to contradict the
$1$-dimensional version of the $\mathsf{CD}$ condition. In particular, we prove
that $2$-dimensional almost-Riemannian manifolds and strongly regular
almost-Riemannian manifolds do not satisfy the $\mathsf{CD}(K,N)$ condition for
any $K\in\mathbb R$ and $N\in(1,\infty)$.
