ΔE 13.6, fair: the same colour family, but not a straight swap. Purple Hex is more saturated, cooler than Mahogany.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 14). Purple Hex is more saturated, cooler than Mahogany.
The same difference applies the other way round: Mahogany 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 Mahogany on the colour wheel See Purple Hex on the colour wheel
All matches: Mahogany equivalents · Purple Hex equivalents