ΔE 16.8, loose: different enough that you should pick on purpose. Azurite Hue is much more muted, cooler than Royal Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Azurite Hue is much more muted, cooler than Royal Blue.
The same difference applies the other way round: Royal Blue is 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 Royal Blue on the colour wheel See Azurite Hue on the colour wheel
All matches: Royal Blue equivalents · Azurite Hue equivalents