ΔE 35.9, loose: different enough that you should pick on purpose. Hot Orange is noticeably lighter, much more saturated, warmer than Ruby Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 36). Hot Orange is noticeably lighter, much more saturated, warmer than Ruby Red.
The same difference applies the other way round: Ruby Red 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.
See Ruby Red on the colour wheel See Hot Orange on the colour wheel
All matches: Ruby Red equivalents · Hot Orange equivalents