ΔE 15.5, loose: different enough that you should pick on purpose. Raw Sienna is noticeably darker, more saturated than Bullwhack Brown.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Raw Sienna is noticeably darker, more saturated than Bullwhack Brown.
The same difference applies the other way round: Bullwhack Brown is noticeably lighter, more muted.
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 Bullwhack Brown on the colour wheel See Raw Sienna on the colour wheel
All matches: Bullwhack Brown equivalents · Raw Sienna equivalents