ΔE 22.2, loose: different enough that you should pick on purpose. Ogre Brown is a little darker, more muted than Magmadroth Flame.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Ogre Brown is a little darker, more muted than Magmadroth Flame.
The same difference applies the other way round: Magmadroth Flame is a little lighter, 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 Magmadroth Flame on the colour wheel See Ogre Brown on the colour wheel
All matches: Magmadroth Flame equivalents · Ogre Brown equivalents