ΔE 16.5, loose: different enough that you should pick on purpose. Vermilion is noticeably darker, more saturated than Raging Rose.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Vermilion is noticeably darker, more saturated than Raging Rose.
The same difference applies the other way round: Raging Rose is noticeably lighter, more muted.
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 Vermilion on the colour wheel
All matches: Raging Rose equivalents · Vermilion equivalents