ΔE 15.2, loose: different enough that you should pick on purpose. Royal Purple is a little darker, more saturated than Luxion Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Royal Purple is a little darker, more saturated than Luxion Purple.
The same difference applies the other way round: Luxion Purple is a little 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 Luxion Purple on the colour wheel See Royal Purple on the colour wheel
All matches: Luxion Purple equivalents · Royal Purple equivalents