  For any simple complex Lie algebra $\mathfrak{g}$, we show that the degrees
of the "ADO" link polynomials coming from the unrolled restricted quantum group
$\overline{U}^H_q(\mathfrak{g})$ at a root of unity give lower bounds to the
Seifert genus of the link. We give a direct simple proof of this fact relying
on a Seifert surface formula involving universal
$\mathfrak{u}_q(\mathfrak{g})$-invariants, where $\mathfrak{u}_q(\mathfrak{g})$
is the small quantum group. We give a second proof by showing that the
invariant $P_{\mathfrak{u}_q(\mathfrak{b})}^{\theta}(K)$ of our previous work
coincides with such ADO invariants, where $\mathfrak{u}_q(\mathfrak{b})$ is the
Borel part of $\mathfrak{u}_q(\mathfrak{g})$. To prove this, we show that
equivariantizations of relative Drinfeld centers of crossed products
essentially contain unrolled restricted quantum groups, a fact that could be of
independent interest.
