ΔE 18.0, loose: different enough that you should pick on purpose. Burgundy is a little darker, more muted, cooler than Burnished Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Burgundy is a little darker, more muted, cooler than Burnished Red.
The same difference applies the other way round: Burnished Red is a little lighter, 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 Burnished Red on the colour wheel See Burgundy on the colour wheel
All matches: Burnished Red equivalents · Burgundy equivalents