ΔE 29.2, loose: different enough that you should pick on purpose. Ink Red is noticeably lighter, much more saturated, warmer than Transparent Burgundy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 29). Ink Red is noticeably lighter, much more saturated, warmer than Transparent Burgundy.
The same difference applies the other way round: Transparent Burgundy is noticeably darker, much more muted, cooler.
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 Transparent Burgundy on the colour wheel See Ink Red on the colour wheel
All matches: Transparent Burgundy equivalents · Ink Red equivalents