ΔE 24.3, loose: different enough that you should pick on purpose. Hellion Red Wash is noticeably lighter, much more muted, warmer than Carroburg Crimson.
✓ Two Thin Coats comparison chart lists these two as equivalents.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Hellion Red 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 Hellion Red Wash on the colour wheel
All matches: Carroburg Crimson equivalents · Hellion Red Wash equivalents