Originaly the voice actor of lapis was amethyst, she even recorded for the pilot. and the voice actor of peridot almost was the voice for garnet. This episode may be a bit of a nod to that.
While rushing to the rescue the Crystal Temps recreate a portion of the original opening title sequence in which Steven is running behind the Gems, then passes them and briefly jumps when he gets out in front. In this case, Connie (who is "replacing" Steven) fills in for him, passing Peridot, Lapis and Pumpkin.
The line Lapis says "There is no Amethyst, only Garnet" is a reference to the original Ghostbusters movie when Dr . Venkman is speaking to a possessed Dana and she says "There is no Dana, only Zuul"
Peridot's line "New Crystal Gems--Congregate!" is a takeoff on "Avengers--Assemble!" from Marvel Comics.