I think the "bank run" terminology should be read as a term of art from economics and finance that describes the situation when an entity holds long-term assets against short-term liabilities, and these liabilities are called by customers on short notice creating a solvency issue. The classical reference is Diamond-Dybvig (1983).
It is not so critical whether the organization is formally a "bank" under a legal and regulatory definition, the economics are the same regardless.
It is not so critical whether the organization is formally a "bank" under a legal and regulatory definition, the economics are the same regardless.