ΔE 18.5, loose: different enough that you should pick on purpose. Ancient Copper is a little lighter, much more muted than Metallic Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Ancient Copper is a little lighter, much more muted than Metallic Orange.
The same difference applies the other way round: Metallic Orange is a little darker, much more saturated.
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 Metallic Orange on the colour wheel See Ancient Copper on the colour wheel
All matches: Metallic Orange equivalents · Ancient Copper equivalents