ΔE 16.7, loose: different enough that you should pick on purpose. Faded Red is a little lighter, much more saturated than Burnt Offering.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Faded Red is a little lighter, much more saturated than Burnt Offering.
The same difference applies the other way round: Burnt Offering 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 Burnt Offering on the colour wheel See Faded Red on the colour wheel
All matches: Burnt Offering equivalents · Faded Red equivalents