ΔE 16.3, loose: different enough that you should pick on purpose. Rhulic Gold is noticeably lighter, more saturated than Liberator Gold.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Rhulic Gold is noticeably lighter, more saturated than Liberator Gold.
The same difference applies the other way round: Liberator Gold is noticeably darker, 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 Liberator Gold on the colour wheel See Rhulic Gold on the colour wheel
All matches: Liberator Gold equivalents · Rhulic Gold equivalents