ΔE 21.7, loose: different enough that you should pick on purpose. Old Rose is a little darker, much more muted, cooler than Flesh Rose.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Old Rose is a little darker, much more muted, cooler than Flesh Rose.
The same difference applies the other way round: Flesh Rose is a little lighter, much more saturated, 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 Flesh Rose on the colour wheel See Old Rose on the colour wheel
All matches: Flesh Rose equivalents · Old Rose equivalents