ΔE 24.4, loose: different enough that you should pick on purpose. Arcane Gold is noticeably darker, more saturated, cooler than Steampunk Copper.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Arcane Gold is noticeably darker, more saturated, cooler than Steampunk Copper.
The same difference applies the other way round: Steampunk Copper is noticeably lighter, 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 Steampunk Copper on the colour wheel See Arcane Gold on the colour wheel
All matches: Steampunk Copper equivalents · Arcane Gold equivalents