ΔE 15.9, loose: different enough that you should pick on purpose. Barbarian Skin is a little darker, more muted, cooler than Gnome Flesh.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Barbarian Skin is a little darker, more muted, cooler than Gnome Flesh.
The same difference applies the other way round: Gnome Flesh is a little lighter, more saturated, 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 Gnome Flesh on the colour wheel See Barbarian Skin on the colour wheel
All matches: Gnome Flesh equivalents · Barbarian Skin equivalents