ΔE 25.9, loose: different enough that you should pick on purpose. Bronze is noticeably lighter, much more saturated than Metallic Black.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Bronze is noticeably lighter, much more saturated than Metallic Black.
The same difference applies the other way round: Metallic Black is noticeably darker, 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 Metallic Black on the colour wheel See Bronze on the colour wheel
All matches: Metallic Black equivalents · Bronze equivalents