ΔE 15.8, loose: different enough that you should pick on purpose. Ochre Desert is much more saturated, cooler than Demigod Flames.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Ochre Desert is much more saturated, cooler than Demigod Flames.
The same difference applies the other way round: Demigod Flames is much 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 Demigod Flames on the colour wheel See Ochre Desert on the colour wheel
All matches: Demigod Flames equivalents · Ochre Desert equivalents