ΔE 17.3, loose: different enough that you should pick on purpose. Amethyst Rose is noticeably darker, more saturated than Fur Brown.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Amethyst Rose is noticeably darker, more saturated than Fur Brown.
The same difference applies the other way round: Fur Brown is noticeably lighter, more muted.
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 Fur Brown on the colour wheel See Amethyst Rose on the colour wheel
All matches: Fur Brown equivalents · Amethyst Rose equivalents