ΔE 18.3, loose: different enough that you should pick on purpose. Ancient Copper is noticeably darker, more saturated than Cartridge Family.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Ancient Copper is noticeably darker, more saturated than Cartridge Family.
The same difference applies the other way round: Cartridge Family is noticeably lighter, 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 Cartridge Family on the colour wheel See Ancient Copper on the colour wheel
All matches: Cartridge Family equivalents · Ancient Copper equivalents