ΔE 32.9, loose: different enough that you should pick on purpose. Iron Fist is noticeably lighter, much more muted than Emperor Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 33). Iron Fist is noticeably lighter, much more muted than Emperor Gold.
The same difference applies the other way round: Emperor Gold is noticeably darker, 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.
See Emperor Gold on the colour wheel See Iron Fist on the colour wheel
All matches: Emperor Gold equivalents · Iron Fist equivalents