ΔE 37.2, loose: different enough that you should pick on purpose. Arcane Gold is noticeably darker, much more saturated, warmer than Radiant Platinum.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 37). Arcane Gold is noticeably darker, much more saturated, warmer than Radiant Platinum.
The same difference applies the other way round: Radiant Platinum is noticeably lighter, much more muted, cooler.
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 Radiant Platinum on the colour wheel See Arcane Gold on the colour wheel
All matches: Radiant Platinum equivalents · Arcane Gold equivalents