ΔE 30.8, loose: different enough that you should pick on purpose. Forged Red is a little darker, much more saturated than Heirloom Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 31). Forged Red is a little darker, much more saturated than Heirloom Gold.
The same difference applies the other way round: Heirloom Gold is a little lighter, much 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 Heirloom Gold on the colour wheel See Forged Red on the colour wheel
All matches: Heirloom Gold equivalents · Forged Red equivalents