Start with the operation, not the label used by the vendor. EDPB Guidelines 2/2023 identify four Article 5(3) elements: information, terminal equipment of a subscriber or user, a public electronic communications network context, and storage or gaining access. Storage and access are separate triggers, so the same assessment should catch both writing an identifier and reading a value that another party, the user, the device maker, or software already placed on the device.
Information is not limited to personal data. The test should therefore cover analytics IDs, advertising IDs, cached values, HTTP headers used for tracking, ETags, HSTS abuse, authentication tokens, MAC or IP-derived identifiers where they originate from the terminal equipment, device sensor results, and values generated locally by scripts or apps.