ΔE 25.2, loose: different enough that you should pick on purpose. Ember Orange is a little lighter, much more muted, warmer than Burning Ore.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Ember Orange is a little lighter, much more muted, warmer than Burning Ore.
The same difference applies the other way round: Burning Ore is a little darker, much more saturated, cooler.
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 Burning Ore on the colour wheel See Ember Orange on the colour wheel
All matches: Burning Ore equivalents · Ember Orange equivalents