With the current wording of the declaration, any employer who signed when some (or all) of the work had been undertaken by an employee (or, probably more commonly, any employee who signed for work undertaken at least partially by another employee) would still be 'lying', wouldn't (s)he? (I see nothing in the wording of the present declaration which says that one can ignore the 'carrying out' bit if one is the employer of the person who actually did the 'carrying out')Until it is changed, or until you abandon your utterly ridiculous refusal to recognise the special case of an employer/employee relationship, it will remain a lie. Whether you consider that helpful or not.
Kind Regards, John