Hip Hop Golden Age staff compared the release with Simz's previous two studio albums, saying the " neo soul direction" of No Thank You lands somewhere between the "short and punchy" energy of Grey Area, and the "sprawling and grandiose" nature of Sometimes I Might Be Introvert. Less than a week after winning her MOBO Award in December 2022, Simz announced her new album No Thank You on 6 December 2022 via social media, and the album was made available to pre-save digitally. On the minimalist album opener, "Angel", Simz analyses her rise to stardom with a " Prince-style pun" on master ownership.

In a review for BrooklynVegan, Andrew Sacher summarised the album: "No Thank You has gorgeous production, samples, and backing vocals, but for the most part, Simz doesn't dress her messages up in anything fancy. Although it came out digitally at the end of last year, the physical release was this year - and that’s what we’re here to celebrate as we couldn’t let her 4th full-length offering go without proper acknowledgement.All image and audio content is used by permission of the copyright holders or their agents, and/or according to fair dealing as per the UK Copyright, Designs and Patents Act 1988. Sleek and punky in its musical disposition, it sees Simbi engage with spirituality as well as her experiences in the music industry on a compound of hip-hop, gospel, soul, funk and electronica. Recorded once again with trusted confidant Inflo, Little Simz adds a little more punk rock a lot more classic feel good hip hop to the formula here, with tracks like ‘Silhouette’ and ‘Heart on Fire’ stacking funky breakbeats, stately horns, and immaculately cooed choral backing vocals atop her always deft rhymes to great effect.

In seeing how far fame and its accordant trappings can drag art from its purpose, she appears to have found an answer to the question that dominated the Mercury-crowned Sometimes I Might Be Introvert: “Simz the artist or Simbi the person?Recorded with her regular collaborator Inflo, this is Simz at her most free, daring and spontaneous.