ΔE 19.1, loose: different enough that you should pick on purpose. Sunset Red is noticeably lighter, much more saturated, cooler than Alizarin Crimson Hue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Sunset Red is noticeably lighter, much more saturated, cooler than Alizarin Crimson Hue.
The same difference applies the other way round: Alizarin Crimson Hue is noticeably darker, much more muted, 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 Alizarin Crimson Hue on the colour wheel See Sunset Red on the colour wheel
All matches: Alizarin Crimson Hue equivalents · Sunset Red equivalents