ΔE 20.7, loose: different enough that you should pick on purpose. Phoenician Purple is noticeably darker, more muted, cooler than Fairy Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Phoenician Purple is noticeably darker, more muted, cooler than Fairy Pink.
The same difference applies the other way round: Fairy Pink is noticeably lighter, 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 Fairy Pink on the colour wheel See Phoenician Purple on the colour wheel
All matches: Fairy Pink equivalents · Phoenician Purple equivalents