Ancient Honey vs Bronze Yellow

How close are they?

ΔE 25.7, loose: different enough that you should pick on purpose. Bronze Yellow is noticeably darker, much more muted than Ancient Honey.

Can I use Bronze Yellow instead of Ancient Honey?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Bronze Yellow is noticeably darker, much more muted than Ancient Honey.

Can I use Ancient Honey instead of Bronze Yellow?

The same difference applies the other way round: Ancient Honey is noticeably lighter, much more saturated.

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.