ΔE 17.2, loose: different enough that you should pick on purpose. Yellow Ochre is noticeably darker, more muted than Yellow Flame.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Yellow Ochre is noticeably darker, more muted than Yellow Flame.
The same difference applies the other way round: Yellow Flame is noticeably lighter, more saturated.
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 Yellow Flame on the colour wheel See Yellow Ochre on the colour wheel
All matches: Yellow Flame equivalents · Yellow Ochre equivalents