ΔE 11.8, fair: the same colour family, but not a straight swap. Astorath Red is more saturated, cooler than Carmine.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 12). Astorath Red is more saturated, cooler than Carmine.
The same difference applies the other way round: Carmine is 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 Carmine on the colour wheel See Astorath Red on the colour wheel
All matches: Carmine equivalents · Astorath Red equivalents