ΔE 26.5, loose: different enough that you should pick on purpose. Flesh Wash is noticeably lighter, warmer than Magi Purple Wash.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Flesh Wash is noticeably lighter, warmer than Magi Purple Wash.
The same difference applies the other way round: Magi Purple Wash is noticeably darker, cooler.
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 Magi Purple Wash on the colour wheel See Flesh Wash on the colour wheel
All matches: Magi Purple Wash equivalents · Flesh Wash equivalents