ΔE 16.2, loose: different enough that you should pick on purpose. Orgoth Bronze is noticeably lighter, more muted, warmer than Dark Emerald.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Orgoth Bronze is noticeably lighter, more muted, warmer than Dark Emerald.
The same difference applies the other way round: Dark Emerald is noticeably darker, 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 Dark Emerald on the colour wheel See Orgoth Bronze on the colour wheel
All matches: Dark Emerald equivalents · Orgoth Bronze equivalents