ΔE 15.6, loose: different enough that you should pick on purpose. Old Rose is more saturated, cooler than Beige Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Old Rose is more saturated, cooler than Beige Red.
The same difference applies the other way round: Beige Red is more muted, warmer.
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 Beige Red on the colour wheel See Old Rose on the colour wheel
All matches: Beige Red equivalents · Old Rose equivalents