ΔE 26.7, loose: different enough that you should pick on purpose. Bronze is noticeably darker, much more muted than Balthasar Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Bronze is noticeably darker, much more muted than Balthasar Gold.
The same difference applies the other way round: Balthasar Gold is noticeably lighter, 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 Balthasar Gold on the colour wheel See Bronze on the colour wheel
All matches: Balthasar Gold equivalents · Bronze equivalents