ΔE 17.6, loose: different enough that you should pick on purpose. Emperor's Children is a little lighter, much more muted than Pixie Pink.
✓ Army Painter Fanatic conversion chart lists these two as equivalents.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Emperor's Children is a little lighter, much more muted than Pixie Pink.
The same difference applies the other way round: Pixie Pink is a little darker, much 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 Pixie Pink on the colour wheel See Emperor's Children on the colour wheel
All matches: Pixie Pink equivalents · Emperor's Children equivalents