ΔE 17.6, loose: different enough that you should pick on purpose. Hot Orange is a little darker, more muted, cooler than Permanent Orange.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Hot Orange is a little darker, more muted, cooler than Permanent Orange.
The same difference applies the other way round: Permanent Orange is a little lighter, more saturated, 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 Permanent Orange on the colour wheel See Hot Orange on the colour wheel
All matches: Permanent Orange equivalents · Hot Orange equivalents