ΔE 23.0, loose: different enough that you should pick on purpose. Phoenix Red is a little darker, much more muted, cooler than Burning Ore.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Phoenix Red is a little darker, much more muted, cooler than Burning Ore.
The same difference applies the other way round: Burning Ore is a little lighter, much 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 Burning Ore on the colour wheel See Phoenix Red on the colour wheel
All matches: Burning Ore equivalents · Phoenix Red equivalents