ΔE 26.6, loose: different enough that you should pick on purpose. Orc Flesh Wash is a little lighter, much more saturated, cooler than Battle Mud Wash.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Orc Flesh Wash is a little lighter, much more saturated, cooler than Battle Mud Wash.
The same difference applies the other way round: Battle Mud Wash is a little darker, much 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 Battle Mud Wash on the colour wheel See Orc Flesh Wash on the colour wheel
All matches: Battle Mud Wash equivalents · Orc Flesh Wash equivalents