ΔE 22.5, loose: different enough that you should pick on purpose. Black Lotus is noticeably darker, much more muted than Burgundy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Black Lotus is noticeably darker, much more muted than Burgundy.
The same difference applies the other way round: Burgundy 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 Burgundy on the colour wheel See Black Lotus on the colour wheel
All matches: Burgundy equivalents · Black Lotus equivalents