ΔE 15.5, loose: different enough that you should pick on purpose. Royal Blue is noticeably lighter, cooler than Phthalo Blue RS.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Royal Blue is noticeably lighter, cooler than Phthalo Blue RS.
The same difference applies the other way round: Phthalo Blue RS is noticeably darker, 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 Phthalo Blue RS on the colour wheel See Royal Blue on the colour wheel
All matches: Phthalo Blue RS equivalents · Royal Blue equivalents