ΔE 30.8, loose: different enough that you should pick on purpose. Crimson is noticeably darker, more saturated, cooler than Ruddy Fur.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 31). Crimson is noticeably darker, more saturated, cooler than Ruddy Fur.
The same difference applies the other way round: Ruddy Fur is noticeably lighter, more muted, 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 Ruddy Fur on the colour wheel See Crimson on the colour wheel
All matches: Ruddy Fur equivalents · Crimson equivalents