ΔE 33.4, loose: different enough that you should pick on purpose. Royal Purple is noticeably darker, much more saturated, warmer than Royal Robes.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 33). Royal Purple is noticeably darker, much more saturated, warmer than Royal Robes.
The same difference applies the other way round: Royal Robes is noticeably lighter, 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 Royal Robes on the colour wheel See Royal Purple on the colour wheel
All matches: Royal Robes equivalents · Royal Purple equivalents