ΔE 30.2, loose: different enough that you should pick on purpose. Imperial Gold is noticeably darker, much more saturated than Doom Metal.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 30). Imperial Gold is noticeably darker, much more saturated than Doom Metal.
The same difference applies the other way round: Doom Metal is noticeably 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 Doom Metal on the colour wheel See Imperial Gold on the colour wheel
All matches: Doom Metal equivalents · Imperial Gold equivalents