  Let $M$ be a compact smooth manifold without boundary. Based on results by
Good and Meddaugh (2020), we prove that a strong distributional chaos is
$C^0$-generic in the space of continuous self-maps (resp. homeomorphisms) of
$M$. The results contain answers to questions by Li et al. (2016) and Moothathu
(2011) in the zero-dimensional case. A related counter-example on the chain
components under shadowing is also given.
