ΔE 19.5, loose: different enough that you should pick on purpose. Pastel Violet is noticeably lighter, warmer than Alien Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Pastel Violet is noticeably lighter, warmer than Alien Purple.
The same difference applies the other way round: Alien Purple is noticeably darker, 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 Alien Purple on the colour wheel See Pastel Violet on the colour wheel
All matches: Alien Purple equivalents · Pastel Violet equivalents