(if you haven't read far, this may be spoiler!!!)
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maybe because he feels guilty...? to be the only survivor (kindof), and because his comrades mean so much to him. they have been fighting for survival together for 300 years...
people died in dungeon is different than people's death in regular world. they are heroes and yet their death is tragic, more painful, even all their corpses are left behind... nothing tangible for their family irl to properly mourn for, almost like they disappear, swallowed by the dungeon just like that. so it's only right to fulfil their dying wishes. and they ask CHAEYOON to fulfil their wishes, not anyone else. so he had to do it.
it's their final effort to keep him alive he was the youngest (and strongest, hence so much burden) of them all, and yet he had to carry all the pain and trauma for being the sole survivor. they don't want chaeyoon ended up suic*de after the dungeon like most people do. at least with those weird wills, they can postpone his suic*de for several thousand days... and in those time, hopefully he can heal.
Wait...huh? I dont get it.. Pls be patient with me
If the time inside the dungeon is slower then that means the day must be longer right?
So if outside the dungeon a day has already passed then inside the dungeon the day should not yet over coz the time there is slower?
If they spent 300 yrs inside the dungeon which the time moves slowly then outside it should be over 300 years?
why does he Have to carry out the wills? is he bound by like a contract or is he doing it himself just bc?