ΔE 7.9, close: similar, with a visible difference side by side. Olive Shadow is more saturated, cooler than Dark Battle Dress.
Usually, if you are not matching paint already on the model. Close match (ΔE 8). Olive Shadow is more saturated, cooler than Dark Battle Dress.
The same difference applies the other way round: Dark Battle Dress is more muted, warmer.
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 Battle Dress on the colour wheel See Olive Shadow on the colour wheel
All matches: Dark Battle Dress equivalents · Olive Shadow equivalents