ΔE 37.8, loose: different enough that you should pick on purpose. Orange Fire is noticeably darker, much more saturated than Sulfide Yellow.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 38). Orange Fire is noticeably darker, much more saturated than Sulfide Yellow.
The same difference applies the other way round: Sulfide Yellow is noticeably 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 Sulfide Yellow on the colour wheel See Orange Fire on the colour wheel
All matches: Sulfide Yellow equivalents · Orange Fire equivalents