ΔE 25.6, loose: different enough that you should pick on purpose. Amethyst Purple is a little darker, more muted, cooler than Bubblegum Crisis.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Amethyst Purple is a little darker, more muted, cooler than Bubblegum Crisis.
The same difference applies the other way round: Bubblegum Crisis is a little 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 Bubblegum Crisis on the colour wheel See Amethyst Purple on the colour wheel
All matches: Bubblegum Crisis equivalents · Amethyst Purple equivalents