ΔE 15.4, loose: different enough that you should pick on purpose. Orange Fire is a little darker, much more saturated than Faded Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Orange Fire is a little darker, much more saturated than Faded Orange.
The same difference applies the other way round: Faded Orange is a little lighter, 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 Faded Orange on the colour wheel See Orange Fire on the colour wheel
All matches: Faded Orange equivalents · Orange Fire equivalents