ΔE 18.9, loose: different enough that you should pick on purpose. Burnt Orange is noticeably darker, much more muted than Orange Magma.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Burnt Orange is noticeably darker, much more muted than Orange Magma.
The same difference applies the other way round: Orange Magma is noticeably lighter, much more saturated.
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 Orange Magma on the colour wheel See Burnt Orange on the colour wheel
All matches: Orange Magma equivalents · Burnt Orange equivalents