ΔE 24.9, loose: different enough that you should pick on purpose. Aged Metal is a little lighter, much more muted, cooler than Gold Rush.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Aged Metal is a little lighter, much more muted, cooler than Gold Rush.
The same difference applies the other way round: Gold Rush is a little darker, much 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 Rush on the colour wheel See Aged Metal on the colour wheel
All matches: Gold Rush equivalents · Aged Metal equivalents