ΔE 21.1, loose: different enough that you should pick on purpose. Beaten Purple is noticeably darker, more saturated, warmer than Cultist Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Beaten Purple is noticeably darker, more saturated, warmer than Cultist Purple.
The same difference applies the other way round: Cultist Purple is noticeably lighter, more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Cultist Purple on the colour wheel See Beaten Purple on the colour wheel
All matches: Cultist Purple equivalents · Beaten Purple equivalents