ΔE 12.9, fair: the same colour family, but not a straight swap. Carmine Red is a little darker, more saturated, cooler than Burnt Orange.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 13). Carmine Red is a little darker, more saturated, cooler than Burnt Orange.
The same difference applies the other way round: Burnt Orange is a little 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 Burnt Orange on the colour wheel See Carmine Red on the colour wheel
All matches: Burnt Orange equivalents · Carmine Red equivalents