Parent is probably talking about "BigLaw" (thousands of lawyers) and boutique law firms (hundred lawyers or less). Most lawyers at the firms are employees (i.e. the associates) and not part-owners (i.e. the partners). They are not co-ops.
Even in a tiny local law firm of 5 partners/owners and no junior associates, they'd still have the staff paralegals and secretaries as non-owner employees so they're not really co-ops either.