ΔE 16.8, loose: different enough that you should pick on purpose. Blood Thorn is noticeably darker, more saturated, warmer than Vintage Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Blood Thorn is noticeably darker, more saturated, warmer than Vintage Pink.
The same difference applies the other way round: Vintage Pink 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 Vintage Pink on the colour wheel See Blood Thorn on the colour wheel
All matches: Vintage Pink equivalents · Blood Thorn equivalents