ΔE 53.7, loose: different enough that you should pick on purpose. Hammered Copper is noticeably lighter, much more muted than Runic Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 54). Hammered Copper is noticeably lighter, much more muted than Runic Gold.
The same difference applies the other way round: Runic Gold is noticeably 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 Runic Gold on the colour wheel See Hammered Copper on the colour wheel
All matches: Runic Gold equivalents · Hammered Copper equivalents