ΔE 20.3, loose: different enough that you should pick on purpose. Brown Wash is a little darker, much more muted, warmer than Rust Tone.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Brown Wash is a little darker, much more muted, warmer than Rust Tone.
The same difference applies the other way round: Rust Tone is a little lighter, much 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 Rust Tone on the colour wheel See Brown Wash on the colour wheel
All matches: Rust Tone equivalents · Brown Wash equivalents