ΔE 15.3, loose: different enough that you should pick on purpose. Bright Bronze is a little darker, much more muted, warmer than Steampunk Copper.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Bright Bronze is a little darker, much more muted, warmer than Steampunk Copper.
The same difference applies the other way round: Steampunk Copper 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 Steampunk Copper on the colour wheel See Bright Bronze on the colour wheel
All matches: Steampunk Copper equivalents · Bright Bronze equivalents