ΔE 19.3, loose: different enough that you should pick on purpose. Bronze is noticeably darker, much more saturated than Boiler Black.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Bronze is noticeably darker, much more saturated than Boiler Black.
The same difference applies the other way round: Boiler Black is noticeably lighter, much more muted.
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 Boiler Black on the colour wheel See Bronze on the colour wheel
All matches: Boiler Black equivalents · Bronze equivalents