Lol had to go on an errand for a bit sorry about taking a while
He's not dying this arc I'm very confident in saying that lol. Keep in mind vegapunk was killed by kizaru as well and no one is expecting him to die.
The thing is though that right now the only thing that really sets Saturn apart from the other Gorosei is his involvement in Kuma's and Bonney's lives. If you take him outside of the context of Egghead, he pretty much fulfills the same narrative role as the others. So I really don't see any reason for him to live past this arc, since this is pretty much going to be the only arc where he could reasonably be in a point of major gravitas. The other 4 Gorosei could fulfill the same narrative function after.
The only reason I
might see Saturn living past this arc is if Bonney joins the crew, so he would be like an overarching personal nemesis to her or something.
Another thing is character motivation. So far no one has gone into great lengths to take down Saturn they've all just been focused on escaping and not fighting.
What if at the end of the arc, Saturn gets so pissed at the Strawhats for what they did at Egghead that he decides to go after them on the Sunny, and then they knock him into the water which ends up killing him?
I don't think them escaping and Saturn dying are mutually exclusive