ΔE 22.4, loose: different enough that you should pick on purpose. Naples Yellow is noticeably lighter, cooler than Flickering Flame.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Naples Yellow is noticeably lighter, cooler than Flickering Flame.
The same difference applies the other way round: Flickering Flame 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 Flickering Flame on the colour wheel See Naples Yellow on the colour wheel
All matches: Flickering Flame equivalents · Naples Yellow equivalents