Any user can write into the All Users\Documents location.
By default, only the creator of the document (and administrators) will be able to subsequently modify the document. All other (non-admin) Users will have read-only access to the document by default. If an application requires that all normal Users to have write access to a given application specific subdirectory of CSIDL_COMMON_DOCUMENTS, then the application must explicitly modify the security on that sub-directory during application setup.