ΔE 14.1, fair: the same colour family, but not a straight swap. Arcane Gold is noticeably lighter, more saturated, cooler than Amber Alchemy.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 14). Arcane Gold is noticeably lighter, more saturated, cooler than Amber Alchemy.
The same difference applies the other way round: Amber Alchemy is noticeably darker, 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 Amber Alchemy on the colour wheel See Arcane Gold on the colour wheel
All matches: Amber Alchemy equivalents · Arcane Gold equivalents