First of all, Haeboms saying he wants to outlive Ho, not Sol.
What he’s saying is that he wants to outlive Ho because in death, people tend to have unfinished business. He wants to give Ho peace of mind for when he succumbs, knowing that Haebom will take care of his pending worries once death comes for him.
You really didn’t understand at all, he’s not saying he wants Ho to die first, but rather if he was given the chance the chance to choose he’d want to outlive him. So that Ho wouldn’t need to worry about things because he would be willing to do it himself, then once he fulfill his duties and he’d join him in the afterlife

“I’m going to outlive you”
That’s hands down the most selfless quote ever. I’ve never heard of anyone saying that, it’s always “I wish I die before you” or something because they wouldn’t be able to handle the pain of losing their loved one, but Haebom? ohmygod that man is so selfless i fucking love him and Ho