ΔE 15.8, loose: different enough that you should pick on purpose. Amaranth Red is noticeably lighter, cooler than Benzimidazolone Burnt Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Amaranth Red is noticeably lighter, cooler than Benzimidazolone Burnt Orange.
The same difference applies the other way round: Benzimidazolone Burnt Orange is noticeably darker, 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 Benzimidazolone Burnt Orange on the colour wheel See Amaranth Red on the colour wheel
All matches: Benzimidazolone Burnt Orange equivalents · Amaranth Red equivalents