ΔE 19.8, loose: different enough that you should pick on purpose. Lunar Eclipse is a little darker, more muted, warmer than Royal Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Lunar Eclipse is a little darker, more muted, warmer than Royal Purple.
The same difference applies the other way round: Royal Purple is a little lighter, more saturated, 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 Royal Purple on the colour wheel See Lunar Eclipse on the colour wheel
All matches: Royal Purple equivalents · Lunar Eclipse equivalents