  Leonetti proved that whenever $\mathcal I$ is an ideal on $\mathbb N$ such
that there exists an~uncountable family of sets that are not in $\mathcal I$
with the property that the intersection of any two distinct members of that
family is in $\mathcal I$, then the space $c_{0,\mathcal I}$ of sequences in
$\ell_\infty$ that converge to 0 along $\mathcal I$ is not complemented. We
provide a shorter proof of a more general fact that the quotient space
$\ell_\infty / c_{0,\mathcal I}$ does not even embed into $\ell_\infty$.
