ΔE 18.4, loose: different enough that you should pick on purpose. Hot Orange is noticeably darker, more saturated, cooler than Orange Rust.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Hot Orange is noticeably darker, more saturated, cooler than Orange Rust.
The same difference applies the other way round: Orange Rust is noticeably lighter, 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 Orange Rust on the colour wheel See Hot Orange on the colour wheel
All matches: Orange Rust equivalents · Hot Orange equivalents