ΔE 51.8, loose: different enough that you should pick on purpose. Dark Gunmetal is noticeably lighter, much more muted than Golden Shine.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 52). Dark Gunmetal is noticeably lighter, much more muted than Golden Shine.
The same difference applies the other way round: Golden Shine is noticeably darker, much more saturated.
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 Golden Shine on the colour wheel See Dark Gunmetal on the colour wheel
All matches: Golden Shine equivalents · Dark Gunmetal equivalents