ΔE 22.3, loose: different enough that you should pick on purpose. Bright Gold is noticeably lighter, much more saturated than Hoard Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Bright Gold is noticeably lighter, much more saturated than Hoard Bronze.
The same difference applies the other way round: Hoard Bronze is noticeably 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 Hoard Bronze on the colour wheel See Bright Gold on the colour wheel
All matches: Hoard Bronze equivalents · Bright Gold equivalents