ΔE 31.7, loose: different enough that you should pick on purpose. Grey Mist is noticeably darker, more muted than Briar Queen Chill.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 32). Grey Mist is noticeably darker, more muted than Briar Queen Chill.
The same difference applies the other way round: Briar Queen Chill is noticeably lighter, 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 Briar Queen Chill on the colour wheel See Grey Mist on the colour wheel
All matches: Briar Queen Chill equivalents · Grey Mist equivalents