ΔE 26.0, loose: different enough that you should pick on purpose. Warlord Purple is noticeably darker, much more saturated than Emperor's Children.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Warlord Purple is noticeably darker, much more saturated than Emperor's Children.
The same difference applies the other way round: Emperor's Children is noticeably lighter, much more muted.
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 Warlord Purple on the colour wheel
All matches: Emperor's Children equivalents · Warlord Purple equivalents