ΔE 20.6, loose: different enough that you should pick on purpose. Royal Blue is a little lighter, much more muted, cooler than Imperium Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Royal Blue is a little lighter, much more muted, cooler than Imperium Blue.
The same difference applies the other way round: Imperium Blue is a little darker, 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 Imperium Blue on the colour wheel See Royal Blue on the colour wheel
All matches: Imperium Blue equivalents · Royal Blue equivalents