ΔE 38.1, loose: different enough that you should pick on purpose. Flesh Wash is noticeably lighter, much more muted, warmer than Carroburg Crimson.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 38). Flesh Wash is noticeably lighter, much more muted, warmer than Carroburg Crimson.
The same difference applies the other way round: Carroburg Crimson is noticeably darker, much more saturated, 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 Carroburg Crimson on the colour wheel See Flesh Wash on the colour wheel
All matches: Carroburg Crimson equivalents · Flesh Wash equivalents