ΔE 28.7, loose: different enough that you should pick on purpose. Bad Bruise is noticeably darker, much more muted, cooler than Phoenician Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 29). Bad Bruise is noticeably darker, much more muted, cooler than Phoenician Purple.
The same difference applies the other way round: Phoenician Purple is noticeably lighter, much more saturated, 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 Phoenician Purple on the colour wheel See Bad Bruise on the colour wheel
All matches: Phoenician Purple equivalents · Bad Bruise equivalents