ΔE 21.7, loose: different enough that you should pick on purpose. Lilac Purple is a little darker, cooler than Emperor's Children.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Lilac Purple is a little darker, cooler than Emperor's Children.
The same difference applies the other way round: Emperor's Children is a little lighter, 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 Lilac Purple on the colour wheel
All matches: Emperor's Children equivalents · Lilac Purple equivalents