ΔE 12.8, fair: the same colour family, but not a straight swap. Obsidian Black is noticeably darker than Gun Metal.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 13). Obsidian Black is noticeably darker than Gun Metal.
The same difference applies the other way round: Gun Metal is noticeably lighter.
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 Gun Metal on the colour wheel See Obsidian Black on the colour wheel
All matches: Gun Metal equivalents · Obsidian Black equivalents