ΔE 15.0, loose: different enough that you should pick on purpose. Grunge Brown is a little darker, more saturated, cooler than Burnt Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Grunge Brown is a little darker, more saturated, cooler than Burnt Orange.
The same difference applies the other way round: Burnt Orange is a little 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 Burnt Orange on the colour wheel See Grunge Brown on the colour wheel
All matches: Burnt Orange equivalents · Grunge Brown equivalents