ΔE 18.8, loose: different enough that you should pick on purpose. Natural Flesh is noticeably lighter, more muted than Bright Yellow Ochre.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Natural Flesh is noticeably lighter, more muted than Bright Yellow Ochre.
The same difference applies the other way round: Bright Yellow Ochre is noticeably darker, 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 Bright Yellow Ochre on the colour wheel See Natural Flesh on the colour wheel
All matches: Bright Yellow Ochre equivalents · Natural Flesh equivalents