Emperor Gold vs Molten Bronze

How close are they?

ΔE 31.5, loose: different enough that you should pick on purpose. Molten Bronze is noticeably lighter, much more saturated, warmer than Emperor Gold.

Can I use Molten Bronze instead of Emperor Gold?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 32). Molten Bronze is noticeably lighter, much more saturated, warmer than Emperor Gold.

Can I use Emperor Gold instead of Molten Bronze?

The same difference applies the other way round: Emperor Gold is noticeably darker, much more muted, 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.