Myth: Saul is still alive, Kuzan’s move did not kill him!
Fact: While it appears Saul died at Ohara Island, there are arguments that may prove otherwise. The simple fact that he and Aokiji were good friends may show that Aokiji was reluctant to kill him.
Amongst the noted signs, is the name of the move used by Aokiji ‘Ice Time Capsule’, which alone implies he may still be alive (although it could just mean that the move is “Ice Time”, only focused on a smaller area).
However it is yet to be proven he is alive and for now he is considered dead until proven otherwise.