ΔE 13.9, fair: the same colour family, but not a straight swap. Foxhide Brown is noticeably darker than Flickering Flame.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 14). Foxhide Brown is noticeably darker than Flickering Flame.
The same difference applies the other way round: Flickering Flame is noticeably lighter.
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 Foxhide Brown on the colour wheel
All matches: Flickering Flame equivalents · Foxhide Brown equivalents