ΔE 22.8, loose: different enough that you should pick on purpose. Aged Metal is noticeably darker, much more muted, cooler than Dwarven Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Aged Metal is noticeably darker, much more muted, cooler than Dwarven Gold.
The same difference applies the other way round: Dwarven Gold is noticeably lighter, 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 Dwarven Gold on the colour wheel See Aged Metal on the colour wheel
All matches: Dwarven Gold equivalents · Aged Metal equivalents