I honestly do not expect Lakers to lose Lebron, he will stay there without a doubt, he won't move until his son is in the league, which will be another season if I am not wrong, if that were to ever happen then I am guessing that the only way he leaves is to go where his son is drafted and have one last season there.
At least though, we will want to remain in the league until his son can go and play in the NBA, whatever team it is. But I do agree that he might not leave LA, this is Hollywood, if ever someone will left LA it could be Anthony Davis and then Lakers rebuilding around Lebron again.
His son will be at college this year at USC so closer to his dad this season, and he will be staying at his home if I am not mistaken as well, which means that we are going to see him play as well as hoped for and probably drafted, so at least one more year of Lebron at Lakers without a doubt, why would he want to leave his son who will play at college level close to home, you need to consider these when rumors are flying, they picked his college based on where Lebron was playing.
Yes, and maybe one of Lebron's dream is to really play together with his son on 1 team. In any case, let's see how good Bronny is. He might not be as tall as high father, but definitely the genetics and guidance from Lebron will be there for his sons.