Further the evidence that the Entity LOOOOOVES Lucca:
Lucca is the only character who gets her own, personalized Gate. The Red One. That lets her save her mom. That was no piece of coincidence, my friends.
Perhaps Schala IN The Time Devourer is the Entity. After all, in the Keystone Timeline before the events of Chrono Trigger, Schala was still most likely absorbed by Lavos and formed the Time Devourer. It isn't explicitly said that that happens because of Crono and friends (after all, the Masamune would've been created with or without timeline intervention from Crono, same with the defeat of Magus, etc). Perhaps that part of Schala that was still human, in the Darkness Beyond Time, longed for Crono and friends to defeat Lavos and perhaps prevent the Time Devourer from ever being "born"?
Or it could just be the planet.