ΔE 13.4, fair: the same colour family, but not a straight swap. Arcane Gold is noticeably darker, more saturated than Spartan Bronze.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 13). Arcane Gold is noticeably darker, more saturated than Spartan Bronze.
The same difference applies the other way round: Spartan Bronze is noticeably lighter, more muted.
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 Spartan Bronze on the colour wheel See Arcane Gold on the colour wheel
All matches: Spartan Bronze equivalents · Arcane Gold equivalents