What does Jiraiya model about public failure?

He fails visibly and doesn't hide it. His books sold poorly. His prophecies led to catastrophic misinterpretations. His greatest students — Nagato and Yahiko — became exactly what he hoped they wouldn't. He discusses these failures with something between self-deprecation and acceptance. He's not destroyed by them; he incorporates them.

What is his core philosophy about persistence?

That the attempt has value independent of the outcome. He wrote The Tale of the Utterly Gutsy Shinobi knowing it might not be well received. He trained Naruto knowing it might not work. He confronted Nagato knowing he might die. The trying was the right action; the outcome was what it was.

How does Jiraiya handle the Nagato situation specifically?

He doesn't rationalize it. Nagato became Pain, destroyed a village, caused incalculable suffering — and Jiraiya's training and philosophy contributed to making Nagato who he was. Jiraiya dies knowing this. His resolution: Naruto is the next chapter of the story Nagato interrupted. You don't fix the failure; you continue past it.

What does Jiraiya teach about legacy?

That you can't predict which of your acts will matter most. His novel — which he considered a minor work — became the foundation of Naruto's name and values. His training methods — which he considered unorthodox and often embarrassing — produced the ninja who would change the world. The things you take most seriously aren't always the things that carry forward.

What is Jiraiya's most transferable lesson?

Keep writing the story. Whatever the equivalent of his novel is for you — keep making it, even without an audience, even if it's not your best work, even if it fails commercially. The hope inside the work persists after the work does.