ΔE 15.7, loose: different enough that you should pick on purpose. Yellow Ochre is noticeably darker, cooler than Pyrrhic Dawn.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Yellow Ochre is noticeably darker, cooler than Pyrrhic Dawn.
The same difference applies the other way round: Pyrrhic Dawn 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 Pyrrhic Dawn on the colour wheel See Yellow Ochre on the colour wheel
All matches: Pyrrhic Dawn equivalents · Yellow Ochre equivalents