ΔE 34.9, loose: different enough that you should pick on purpose. Battle Axe Brass is a little lighter, much more muted, warmer than Thallax Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 35). Battle Axe Brass is a little lighter, much more muted, warmer than Thallax Gold.
The same difference applies the other way round: Thallax Gold is a little darker, much more saturated, 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 Thallax Gold on the colour wheel See Battle Axe Brass on the colour wheel
All matches: Thallax Gold equivalents · Battle Axe Brass equivalents