ΔE 18.2, loose: different enough that you should pick on purpose. Pink is noticeably lighter, more muted than Emperor's Children.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Pink is noticeably lighter, more muted than Emperor's Children.
The same difference applies the other way round: Emperor's Children is noticeably darker, more saturated.
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