ΔE 15.8, loose: different enough that you should pick on purpose. Hexed Lichen is noticeably darker, more muted, warmer than Cultist Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Hexed Lichen is noticeably darker, more muted, warmer than Cultist Purple.
The same difference applies the other way round: Cultist Purple is noticeably lighter, more saturated, 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 Hexed Lichen on the colour wheel
All matches: Cultist Purple equivalents · Hexed Lichen equivalents