ΔE 21.2, loose: different enough that you should pick on purpose. Ink Violet is a little darker, much more saturated, warmer than Payne's Gray.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Ink Violet is a little darker, much more saturated, warmer than Payne's Gray.
The same difference applies the other way round: Payne's Gray is a little lighter, 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 Payne's Gray on the colour wheel See Ink Violet on the colour wheel
All matches: Payne's Gray equivalents · Ink Violet equivalents