ΔE 15.2, loose: different enough that you should pick on purpose. Salmon Rose is a little darker, cooler than Bright Shadow Flesh.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Salmon Rose is a little darker, cooler than Bright Shadow Flesh.
The same difference applies the other way round: Bright Shadow Flesh is a little 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 Bright Shadow Flesh on the colour wheel See Salmon Rose on the colour wheel
All matches: Bright Shadow Flesh equivalents · Salmon Rose equivalents