Incorporating a variety of genres, the album has been described as an amalgamation of indie rock and alternative R&B, with elements of funk, jazz, and psychedelia.

Gemini Rights is an album that amplifies the artist's "majestic mystique" discography, leading Lacy to hit #1 on Billboard Hot 100 for three weeks straight, months following the summer release date in 2022.

[13] Mankaprr Conteh of Rolling Stone wrote that the album "feels like the product of a grand jam session" and a "tight collection of rock and R&B, funk and jazz, psych and hip-hop that's as warm and airy as the cusp of summer, when Geminis are born".

[19] Shahzaib Hussain stated that Lacy "taps into the legacy of The Love Below-era André 3000" as he "channels the musical touchstones of yesteryear into something reachable for a generation exploring more than ever before concepts of personal autonomy and identity", although "the heady high of hedonism" offered by the album "is only ever fleeting and it never really fills the void".

[15] Luke Cartledge of Loud and Quiet acknowledged that the album is "not without flaws: occasionally, the lozenge-smooth nature of the production allows some tracks to drift into coffee-table politeness" and "easygoing groove or pseudo-improv [...] But such shortcomings are easily forgiven; the self-assurance of Steve Lacy is far from unearned".