ΔE 36.5, loose: different enough that you should pick on purpose. Mummy White is noticeably darker, more saturated, warmer than Briar Queen Chill.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 37). Mummy White is noticeably darker, more saturated, warmer than Briar Queen Chill.
The same difference applies the other way round: Briar Queen Chill is noticeably lighter, 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 Briar Queen Chill on the colour wheel See Mummy White on the colour wheel
All matches: Briar Queen Chill equivalents · Mummy White equivalents