July 27 at Fight for the Fallen, Rush faced Jon Moxley in an AEW Interim World Championship eliminator match, but lost. The feud between the duos of El Idolo and Rush and Oscuro and Fenix ended when Rush and El Idolo defeated The Lucha Brothers in a tornado tag team match, on the August 10 episode of Dynamite. The following week, Rush, El Idolo and Dragon Lee, competed in the first round of the tournament to crown the inaugural AEW World Trios Champions, but were defeated in the first round by The Elite, after the loss Rush and El Idolo attacked and unmasked Lee, ending their alliance with him. On September 4 at All Out, Rush and El Idolo competed in the Casino Ladder match, but both men failed to win. On September 30, 2022, Rush was signed to a full-time contract with AEW. On the October 21 edition of Rampage, Rush competed in a three-way match for the AEW All-Atlantic Championship involving 10 and champion Orange Cassidy. The match ended with Cassidy retaining the championship. In November, Rush was announced as a participant in the AEW World Championship Eliminator Tournament, but was defeated in the first round by Bandido. Professional wrestling persona Over the years William Muñoz has cultivated the Rush persona into one of the top level wrestlers in Mexico, as he is often involved in main event matches when he wrestles for CMLL or on the Mexican independent circuit. Starting out he was simply a "tecnico", a generic good guy who showed little personality, but over time developed a more laid-back, arrogant "rudo" character that was portrayed by all members of Los Ingobernables, the gimmick was so successful that it also spawned Los Ingobernables de Japón, voted the "best gimmick" in the annual Wrestling Observer awards for 2017. Rush's "Tranquilo" ("Relax") persona is often expressed in a lack of interest in most opponents as if they are not worth his time. This is often expressed by Rush, and other members of Los Ingobernables engaging in a game of invisible futbol during matches to mock their opponents. His catchphrase "No pasa Nada!", or "Nothing happened", basically dismisses any opponent as not being worth his time. In April 2016, Dave Meltzer of the Wrestling Observer Newsletter wrote that the Los Ingobernables concept of having Rush, once a face (hero) rejected by Arena México crowds, turn heel (villain) and "embrace