ΔE 15.8, loose: different enough that you should pick on purpose. Dark Bronze is a little darker, much more muted, warmer than Balthasar Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Dark Bronze is a little darker, much more muted, warmer than Balthasar Gold.
The same difference applies the other way round: Balthasar Gold is a little lighter, much 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 Balthasar Gold on the colour wheel See Dark Bronze on the colour wheel
All matches: Balthasar Gold equivalents · Dark Bronze equivalents