ΔE 17.0, loose: different enough that you should pick on purpose. Alizarin Crimson Hue is a little lighter, much more saturated than Doombull Brown.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Alizarin Crimson Hue is a little lighter, much more saturated than Doombull Brown.
The same difference applies the other way round: Doombull Brown is a little darker, much 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 Doombull Brown on the colour wheel See Alizarin Crimson Hue on the colour wheel
All matches: Doombull Brown equivalents · Alizarin Crimson Hue equivalents