ΔE 25.3, loose: different enough that you should pick on purpose. Cardinal Purple is more saturated, cooler than Rust.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Cardinal Purple is more saturated, cooler than Rust.
The same difference applies the other way round: Rust 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 Rust on the colour wheel See Cardinal Purple on the colour wheel
All matches: Rust equivalents · Cardinal Purple equivalents