Risk to the writer: Manageable
Defensible in principle, because it is a promise about your behaviour rather than a tool's guess. The trap is definitional: does it cover spellcheck, grammar tools, a search engine, or autocomplete? Left undefined, you cannot know whether you have complied.
Define AI narrowly and explicitly, ideally naming what is permitted. Almost every writer uses something that a broad reading would capture.
General information, not legal advice. Have a solicitor or attorney review anything you intend to sign.