Certainly none of the major bulks (iron ore, coal etc.), and most of the minor bulks (bauxite, alumina etc.) rarely do. But plenty of commoditised cargoes that trade most frequently in units of up to ~1,000kg (PVC granules, sugar) do/can use containers fitted with a liner.
Surely containers would be safer from the issues described such as liquifaction, but the costs probably prevent the shippers from adopting them. Besides, it's no skin off their back and they'rr insured anyway, right? /s