ΔE 24.7, loose: different enough that you should pick on purpose. Beetle Green is noticeably darker, much more saturated than Pearly Gates.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Beetle Green is noticeably darker, much more saturated than Pearly Gates.
The same difference applies the other way round: Pearly Gates is noticeably 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 Pearly Gates on the colour wheel See Beetle Green on the colour wheel
All matches: Pearly Gates equivalents · Beetle Green equivalents