  We show that self-conformal subsets of $\mathbb{R}$ that do not satisfy the
weak separation condition have full Assouad dimension. Combining this with a
recent results by K\"aenm\"aki and Rossi we conclude that an interesting
dichotomy applies to self-conformal and not just self-similar sets: if
$F\subset\mathbb{R}$ is self-conformal with Hausdorff dimension strictly less
than $1$, either the Hausdorff dimension and Assouad dimension agree or the
Assouad dimension is $1$. We conclude that the weak separation property is in
this case equivalent to Assouad and Hausdorff dimension coinciding. (This
manuscript contains errors, see comment below.)
