ΔE 32.8, loose: different enough that you should pick on purpose. Seraphim Flesh is noticeably darker, more saturated, warmer than Princess Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 33). Seraphim Flesh is noticeably darker, more saturated, warmer than Princess Pink.
The same difference applies the other way round: Princess Pink is noticeably lighter, more muted, cooler.
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 Princess Pink on the colour wheel See Seraphim Flesh on the colour wheel
All matches: Princess Pink equivalents · Seraphim Flesh equivalents