ΔE 18.4, loose: different enough that you should pick on purpose. Obsidian Black is noticeably lighter, more muted than Anodized Violet.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Obsidian Black is noticeably lighter, more muted than Anodized Violet.
The same difference applies the other way round: Anodized Violet is noticeably darker, more saturated.
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 Anodized Violet on the colour wheel See Obsidian Black on the colour wheel
All matches: Anodized Violet equivalents · Obsidian Black equivalents