ΔE 22.4, loose: different enough that you should pick on purpose. Auric Armour Gold is noticeably darker, more muted, cooler than Gold Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Auric Armour Gold is noticeably darker, more muted, cooler than Gold Pink.
The same difference applies the other way round: Gold Pink is noticeably lighter, more saturated, 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 Gold Pink on the colour wheel See Auric Armour Gold on the colour wheel
All matches: Gold Pink equivalents · Auric Armour Gold equivalents