Arca's description of the album had updated significantly by this time, described as "a portal directly into the more manic, violently euphoric and aggressively psychedelic sound palettes in the series" and "the most incendiary entry in the Kick universe.

[11] Kick III is a deconstructed club, glitch hop,[12] psychedelic,[13] reggaeton,[14] cumbia,[15] dance,[16] and electronic noise[17] album.

Noises from passing vehicles get as much space as ballistic percussive clamor, and the rampage makes her shapeshifting vocal delivery—breathless quasi-raps, fiery shouts, childlike snickering—consistently hair-raising"[19][20] "Rubberneck" is a blend of IDM and operatic pop[21] and contains "punishing industrial thuds" and "a sense of controlled chaos".

[18] "Skullqueen "mimicks club-goers going out to catch some fresh air before heading back in the euphoric darkness of Arca’s glitch hop bash".

[21] Album closer "Joya" is a ballad that has been compared to Homogenic-era Björk[20] and "closes iii on a note of all-encompassing peace".

[8] Red Dziri, writing for The Line of Best Fit called Kick III "one of [Arca]'s most accomplished works to date".

opined that "the album bears little narrative consistency—only expansions and distillations of sound which create an ambience so overpowering it is inescapable".

[16] However, the Evening Standard writer David Smyth called the project "hyperactive and jittery to a generally irritating extent".