ΔE 22.5, loose: different enough that you should pick on purpose. Gold Dust Woman is a little lighter, much more saturated than Barren Dune.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Gold Dust Woman is a little lighter, much more saturated than Barren Dune.
The same difference applies the other way round: Barren Dune is a little darker, much 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 Barren Dune on the colour wheel See Gold Dust Woman on the colour wheel
All matches: Barren Dune equivalents · Gold Dust Woman equivalents