ΔE 48.3, loose: different enough that you should pick on purpose. Smoke Ink is a little lighter, much more muted than Transparent Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 48). Smoke Ink is a little lighter, much more muted than Transparent Purple.
The same difference applies the other way round: Transparent Purple is a little darker, 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 Smoke Ink on the colour wheel
All matches: Transparent Purple equivalents · Smoke Ink equivalents