ΔE 18.3, loose: different enough that you should pick on purpose. Pale Indigo is a little lighter, more muted, cooler than Cultist Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Pale Indigo is a little lighter, more muted, cooler than Cultist Purple.
The same difference applies the other way round: Cultist Purple is a little darker, more saturated, warmer.
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 Pale Indigo on the colour wheel
All matches: Cultist Purple equivalents · Pale Indigo equivalents