ΔE 21.8, loose: different enough that you should pick on purpose. Battle Axe Brass is noticeably lighter, more muted, warmer than Hoard Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Battle Axe Brass is noticeably lighter, more muted, warmer than Hoard Bronze.
The same difference applies the other way round: Hoard Bronze is noticeably darker, 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 Hoard Bronze on the colour wheel See Battle Axe Brass on the colour wheel
All matches: Hoard Bronze equivalents · Battle Axe Brass equivalents