It definitely wasn't that helpful, but..."Restore the written word." must refer to the reward if we complete this quest. So we should focus our attention on the second part.

[Izuku cups his chin in one hand thoughtfully.] Understand the worth of a story? That could mean a lot of things. If I had to guess, if three participants is the requirement, then the quest might involve all of us sharing a story. The question is, what kind of story are we looking at? Something we made up or something we heard from someone else?

W-well... [Suddenly, he's put on the spot! But this isn't so bad. It's not like he's never talked about All Might in depth to people before!]

Okay, then I'll go first! [Where should he even start? It's All Might! There's so much that he would love to talk about. Izuku tugs on his bottom lip nervously for a moment, then brightens up, practically sparkling as he remembers the first time he'd seen All Might.]

I guess, the first time I wanted to be a hero was when I saw the video of All Might's hero debut. Someone so incredible and skilled..to be able to save so many people in such a short time, of course he left a strong impression on me. [The more he speaks, the more steady he seems to become, lips even curling up into a gentle smile as he stares off to the side.] The thing is, I've watched that video over and over again since then--even recently. Because even the younger me knew that was the kind of hero I wanted to be. It's not just his quirk that makes him the greatest hero. He's the kind of hero who could smile even in the worst of times, whose smile could reassure everyone that everything would be okay in the end.

[Izuku laughs a bit sheepishly, rubbing at his neck as he finally trails off.] Ah, I know it'll probably be impossible to measure up against someone like All Might, but I want to follow his example anyway. He's...the kind of hero that inspires that feeling in the people around them, you know?