ΔE 29.5, loose: different enough that you should pick on purpose. Dead Flush is noticeably darker, much more muted, warmer than Fulgrim Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 29). Dead Flush is noticeably darker, much more muted, warmer than Fulgrim Pink.
The same difference applies the other way round: Fulgrim Pink is noticeably lighter, much 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 Fulgrim Pink on the colour wheel See Dead Flush on the colour wheel
All matches: Fulgrim Pink equivalents · Dead Flush equivalents