ΔE 29.8, loose: different enough that you should pick on purpose. Purple Rain is noticeably darker, more saturated, warmer than Ionic Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 30). Purple Rain is noticeably darker, more saturated, warmer than Ionic Blue.
The same difference applies the other way round: Ionic Blue is noticeably lighter, 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 Ionic Blue on the colour wheel See Purple Rain on the colour wheel
All matches: Ionic Blue equivalents · Purple Rain equivalents