ΔE 25.1, loose: different enough that you should pick on purpose. Amethyst Purple is a little darker, much more saturated than Bare Metal Silver.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Amethyst Purple is a little darker, much more saturated than Bare Metal Silver.
The same difference applies the other way round: Bare Metal Silver is a little lighter, much more muted.
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 Bare Metal Silver on the colour wheel See Amethyst Purple on the colour wheel
All matches: Bare Metal Silver equivalents · Amethyst Purple equivalents