ΔE 24.9, loose: different enough that you should pick on purpose. Celestial Violet is noticeably darker, more saturated, warmer than Royal Burgundy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Celestial Violet is noticeably darker, more saturated, warmer than Royal Burgundy.
The same difference applies the other way round: Royal Burgundy 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 Royal Burgundy on the colour wheel See Celestial Violet on the colour wheel
All matches: Royal Burgundy equivalents · Celestial Violet equivalents