Would autogyros make aircraft carriers smaller?

How would replacing conventional aircraft with autogyros affect aircraft-carrier design?

Arthur Johns expected similar carrier size if aircraft numbers, storage needs, and fleet speed remained comparable, although arresting gear and flight-deck length might be reduced.

Arthur Johns acknowledged limited knowledge of autogyros and doubted their military value. Their height initially appeared to require taller hangars, although he noted a contrary claim that newer examples were no taller than conventional aircraft. Similar storage space, the same aircraft complement, and the speed needed to accompany a fleet would still demand a broadly similar ship. Arresting gear might become unnecessary and a shorter flight deck might suffice. These possibilities needed practical experience before they could be confirmed.