ΔE 29.0, loose: different enough that you should pick on purpose. Xereus Purple is noticeably lighter, much more saturated, warmer than Imperial Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 29). Xereus Purple is noticeably lighter, much more saturated, warmer than Imperial Blue.
The same difference applies the other way round: Imperial Blue is noticeably darker, much more muted, cooler.
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 Imperial Blue on the colour wheel See Xereus Purple on the colour wheel
All matches: Imperial Blue equivalents · Xereus Purple equivalents