The championship cannot be competed for by anyone who is over the Cruiserweight division weight limit of 105 kg (231 lb).
He won the title by defeating Matt Riddle at Cierre De La Gira Origenes on December 7, 2024.
According to Konnan, an AAA booker, Rush lost the title back to Laredo Kid in a un-televised match.
On May 5, Laredo Kid appeared in MLW Fusion with the AAA title, making an in-character statement where he refused to recognize Rush as champion.
During his reign, Laredo Kid was defeated by Lio Rush in a unification match to unify the AAA World Cruiserweight Championship with Rush's MLW World Middleweight Championship – though this reign was not recognized by AAA.