ΔE 18.5, loose: different enough that you should pick on purpose. Bronze is noticeably darker, more muted, warmer than Rusty Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Bronze is noticeably darker, more muted, warmer than Rusty Gold.
The same difference applies the other way round: Rusty Gold is noticeably 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 Rusty Gold on the colour wheel See Bronze on the colour wheel
All matches: Rusty Gold equivalents · Bronze equivalents