ΔE 23.9, loose: different enough that you should pick on purpose. Warrior Skin is a little lighter, more muted than Barbarian Flesh.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Warrior Skin is a little lighter, more muted than Barbarian Flesh.
The same difference applies the other way round: Barbarian Flesh is a little darker, more saturated.
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 Barbarian Flesh on the colour wheel See Warrior Skin on the colour wheel
All matches: Barbarian Flesh equivalents · Warrior Skin equivalents