ΔE 18.3, loose: different enough that you should pick on purpose. Imperial Gold is noticeably darker, more saturated, warmer than Burnt Metal.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Imperial Gold is noticeably darker, more saturated, warmer than Burnt Metal.
The same difference applies the other way round: Burnt Metal is noticeably lighter, more muted, cooler.
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 Burnt Metal on the colour wheel See Imperial Gold on the colour wheel
All matches: Burnt Metal equivalents · Imperial Gold equivalents