ΔE 26.1, loose: different enough that you should pick on purpose. Brazen Copper is noticeably lighter, much more saturated, cooler than Burnt Iron.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Brazen Copper is noticeably lighter, much more saturated, cooler than Burnt Iron.
The same difference applies the other way round: Burnt Iron is noticeably darker, much more muted, warmer.
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 Iron on the colour wheel See Brazen Copper on the colour wheel
All matches: Burnt Iron equivalents · Brazen Copper equivalents