ΔE 34.4, loose: different enough that you should pick on purpose. Cobalt Violet Hue is noticeably darker, more saturated than Emperor's Children.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 34). Cobalt Violet Hue is noticeably darker, more saturated than Emperor's Children.
The same difference applies the other way round: Emperor's Children is noticeably lighter, 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 Cobalt Violet Hue on the colour wheel
All matches: Emperor's Children equivalents · Cobalt Violet Hue equivalents