ΔE 25.7, loose: different enough that you should pick on purpose. Old Rose is noticeably lighter, more muted, cooler than Red Oxide.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Old Rose is noticeably lighter, more muted, cooler than Red Oxide.
The same difference applies the other way round: Red Oxide is noticeably darker, more saturated, 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 Red Oxide on the colour wheel See Old Rose on the colour wheel
All matches: Red Oxide equivalents · Old Rose equivalents