ΔE 16.5, loose: different enough that you should pick on purpose. Brown Rose is noticeably darker, more muted, warmer than Dark Nude Pink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Brown Rose is noticeably darker, more muted, warmer than Dark Nude Pink.
The same difference applies the other way round: Dark Nude Pink 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 Dark Nude Pink on the colour wheel See Brown Rose on the colour wheel
All matches: Dark Nude Pink equivalents · Brown Rose equivalents