Sanguine Base vs Gory Red

How close are they?

ΔE 25.9, loose: different enough that you should pick on purpose. Gory Red is noticeably lighter, much more saturated than Sanguine Base.

Can I use Gory Red instead of Sanguine Base?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 26). Gory Red is noticeably lighter, much more saturated than Sanguine Base.

Can I use Sanguine Base instead of Gory Red?

The same difference applies the other way round: Sanguine Base is noticeably darker, 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.