ΔE 18.1, loose: different enough that you should pick on purpose. Royal Purple is a little lighter, more muted, warmer than Prussian Blue Hue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Royal Purple is a little lighter, more muted, warmer than Prussian Blue Hue.
The same difference applies the other way round: Prussian Blue Hue is a little darker, more saturated, 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 Prussian Blue Hue on the colour wheel See Royal Purple on the colour wheel
All matches: Prussian Blue Hue equivalents · Royal Purple equivalents