Do fabric storage bins hold their shape when empty?

It depends on construction. Non-woven collapsible cubes like the Amazon Basics and SONGMICS sets rely on cardboard inserts and tend to slump when fully empty, while bins built around a metal frame (such as the StorageWorks and GoMaihe options) stay upright on their own. Verified-purchase reviewers consistently note this trade-off between collapsibility and rigidity.