ΔE 25.7, loose: different enough that you should pick on purpose. Bloodstone is noticeably darker, more muted, warmer than Raging Rose.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Bloodstone is noticeably darker, more muted, warmer than Raging Rose.
The same difference applies the other way round: Raging Rose is noticeably lighter, more saturated, 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 Bloodstone on the colour wheel
All matches: Raging Rose equivalents · Bloodstone equivalents