ΔE 37.9, loose: different enough that you should pick on purpose. Dwarf Shield is noticeably darker, more muted, warmer than Hoard Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 38). Dwarf Shield is noticeably darker, more muted, warmer than Hoard Bronze.
The same difference applies the other way round: Hoard Bronze is noticeably lighter, 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 Dwarf Shield on the colour wheel
All matches: Hoard Bronze equivalents · Dwarf Shield equivalents