ΔE 15.0, loose: different enough that you should pick on purpose. Crimson is noticeably darker, cooler than Coral.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Crimson is noticeably darker, cooler than Coral.
The same difference applies the other way round: Coral is noticeably lighter, 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 Coral on the colour wheel See Crimson on the colour wheel
All matches: Coral equivalents · Crimson equivalents