You could probably argue that the true end of Antiquity was during the Bronze age collapse.
Rather that the rise of western civilizations, and expansion of Mediterranean civilization up to the fall of the WRE be catigorized into something else.
Medieval time will still have the same name, but to categorized the whole lump of the bronze age, iron age, and rise and fall of Rome as one time period defined as ancient times is just completely porpostrious