ΔE 24.7, loose: different enough that you should pick on purpose. Lilac Purple is noticeably darker, cooler than Talisman Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Lilac Purple is noticeably darker, cooler than Talisman Purple.
The same difference applies the other way round: Talisman Purple is noticeably lighter, warmer.
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 Talisman Purple on the colour wheel See Lilac Purple on the colour wheel
All matches: Talisman Purple equivalents · Lilac Purple equivalents