ΔE 23.6, loose: different enough that you should pick on purpose. Pink is noticeably darker, more saturated, cooler than Emperor's Children.
✓ Herrick Games paint comparison chart lists these two as equivalents.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Pink is noticeably darker, more saturated, cooler than Emperor's Children.
The same difference applies the other way round: Emperor's Children is noticeably lighter, more muted, 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 Emperor's Children on the colour wheel See Pink on the colour wheel
All matches: Emperor's Children equivalents · Pink equivalents