ΔE 24.2, loose: different enough that you should pick on purpose. Camouflage Green is a little darker, much more saturated, cooler than Bright Yellow Ochre.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Camouflage Green is a little darker, much more saturated, cooler than Bright Yellow Ochre.
The same difference applies the other way round: Bright Yellow Ochre is a little lighter, 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 Bright Yellow Ochre on the colour wheel See Camouflage Green on the colour wheel
All matches: Bright Yellow Ochre equivalents · Camouflage Green equivalents