A holding structure is a way of arranging visibility, not eliminating it. The layers, separately, may each appear opaque; together, they describe something specific. A company owned by a company owned by a trust, with a nominee director in the middle and a service provider as registered office: the structure is plain to anyone who reads it, and the very fact that it has been arranged this way is a kind of disclosure.
The first thing visible is the shape itself. Structures of a certain kind are unusual; structures of another are common. A reader who knows the field can distinguish at a glance between a family office's ordinary holding chain and a structure arranged for a particular event. The shape is itself a signal.
The second thing visible is the personnel. The directors, secretaries, and service providers at each level are recorded by name. The same firm appearing at three layers in a chain is a marker. The same individual signing as director across multiple entities reveals a pattern. The professional advisors named in the corporate filings are themselves searchable.
The third thing visible is the address. A registered office that is shared with other entities of a particular kind discloses, by proximity, the kind of clients that firm serves. A trust officer's address that appears across a chain of entities ties them together more securely than any other single piece of information.
The fourth thing visible is the timing. Entities incorporated in the same week, in the same jurisdiction, with overlapping personnel, are unmistakably related. The dates of incorporation, the dates of share allotments, the dates of director appointments all form a chronological pattern.
The desk does not, and would not, work to obscure structures that have been properly arranged. It works to ensure that the structure presently in place is consistent with the disposition of its principal, and that the picture it presents to an informed reader is the picture that was intended.