ΔE 15.8, loose: different enough that you should pick on purpose. Phoenix Red is noticeably darker, more saturated, warmer than Raging Rose.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Phoenix Red is noticeably darker, more saturated, warmer than Raging Rose.
The same difference applies the other way round: Raging Rose 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 Raging Rose on the colour wheel See Phoenix Red on the colour wheel
All matches: Raging Rose equivalents · Phoenix Red equivalents