ΔE 21.6, loose: different enough that you should pick on purpose. Rusty Metal is noticeably lighter, warmer than Coppery Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Rusty Metal is noticeably lighter, warmer than Coppery Orange.
The same difference applies the other way round: Coppery Orange is noticeably darker, 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 Coppery Orange on the colour wheel See Rusty Metal on the colour wheel
All matches: Coppery Orange equivalents · Rusty Metal equivalents