ΔE 17.7, loose: different enough that you should pick on purpose. Bloodless Skin is noticeably darker, more muted, cooler than Arid Earth.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Bloodless Skin is noticeably darker, more muted, cooler than Arid Earth.
The same difference applies the other way round: Arid Earth is noticeably 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 Arid Earth on the colour wheel See Bloodless Skin on the colour wheel
All matches: Arid Earth equivalents · Bloodless Skin equivalents