ΔE 22.2, loose: different enough that you should pick on purpose. Pink is more muted, warmer than Amethyst.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Pink is more muted, warmer than Amethyst.
The same difference applies the other way round: Amethyst is 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 Amethyst on the colour wheel See Pink on the colour wheel
All matches: Amethyst equivalents · Pink equivalents