The album was preceded by the singles "One Night/All Night" with Tame Impala, and "Generator", which were released together alongside its announcement,[3] followed by "Incognito" and later "Saturnine" with Miguel.

The duo toured North America and Europe in support of the album from April to December 2024, beginning with a performance at Coachella.

[11] Andy Cowan of Mojo stated that Hyperdrama "catches Xavier de Rosnay and Gaspard Augé hedging their bets between playing to their old strengths or going for the pop jugular.

[The album] excels when they try to out-Justice themselves [...] Ultimately hit and miss, Justice's gift for arena-friendly hooks remains undimmed.

"[17] In a five-star review, Thomas Smith of NME called the album "a blockbuster release that meets the hype: flashy, over the top and keen to make a spectacle".

[20] Likewise, Ammar Kalia's mixed review for The Observer remarked that Justice "find themselves too polished and bright" on Hyperdrama and are "on less steady ground" during softer moments such as the track "One Night/All Night", where guest vocalist Kevin Parker's falsetto vocals are drowned out by the backing instrumentation.

[19] Jason Heffler of EDM.com praised the album's direction, noting that Justice "transcend the simple pleasures of body music to speak to the tragedies, triumphs and bittersweet complexities that loom over the dancefloor's euphoric release" and "bleed candor and restless yearning without abandoning their roots.