ΔE 33.5, loose: different enough that you should pick on purpose. Amethyst Purple is noticeably darker, more muted, cooler than Violet Sunset.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 34). Amethyst Purple is noticeably darker, more muted, cooler than Violet Sunset.
The same difference applies the other way round: Violet Sunset is noticeably lighter, 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 Violet Sunset on the colour wheel See Amethyst Purple on the colour wheel
All matches: Violet Sunset equivalents · Amethyst Purple equivalents