ΔE 57.1, loose: different enough that you should pick on purpose. Ink Black is noticeably darker, much more muted than Transparent Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 57). Ink Black is noticeably darker, much more muted than Transparent Purple.
The same difference applies the other way round: Transparent Purple 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 Transparent Purple on the colour wheel See Ink Black on the colour wheel
All matches: Transparent Purple equivalents · Ink Black equivalents