ΔE 17.6, loose: different enough that you should pick on purpose. Old Bronze is a little lighter, warmer than Dark Emerald.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Old Bronze is a little lighter, warmer than Dark Emerald.
The same difference applies the other way round: Dark Emerald is a little darker, 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 Dark Emerald on the colour wheel See Old Bronze on the colour wheel
All matches: Dark Emerald equivalents · Old Bronze equivalents