The LGW slots which EZY have acquired from Flybe are all scheduled for aircraft overnighting away from base and arriving into LGW between 0755 and 0855, then departing between 0830 and 0930. It's inevitable that you will see some more EZY nightstops away from the LGW base next summer, and although some might be used for services to LGW from other EZY bases (maybe NCL?) then not all can be.
They do already operate some nightstops away - from memory, I think LGW crews overnight MAD and BCN and I'm sure someone will be able to correct me or add more to that list.