ΔE 22.8, loose: different enough that you should pick on purpose. Dark Red is a little lighter, much more saturated than Battlefield Brown.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Dark Red is a little lighter, much more saturated than Battlefield Brown.
The same difference applies the other way round: Battlefield Brown is a little 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 Battlefield Brown on the colour wheel See Dark Red on the colour wheel
All matches: Battlefield Brown equivalents · Dark Red equivalents