ΔE 16.8, loose: different enough that you should pick on purpose. Bright Bronze is a little darker, more muted, warmer than Metallic Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Bright Bronze is a little darker, more muted, warmer than Metallic Gold.
The same difference applies the other way round: Metallic Gold is a little lighter, more saturated, 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 Metallic Gold on the colour wheel See Bright Bronze on the colour wheel
All matches: Metallic Gold equivalents · Bright Bronze equivalents