Are roman names immune to palatalization?

Often in modern romance languages the "au" diphtong from latin evolves into "o".

Example: Latin: aurum (gold) -> 🇮🇹 oro, 🇫🇷 or, 🇪🇸 oro, 🇵🇹 ouro

But names like Augustus and Claudius just seem to become something like Augusto and Claudio. Why not Ogusto and Clodio? Whats the reason behind the names retaining this feature?

Is it that Germanic names became more popular after the fall of Rome, overshadowing native names and they were reintroduced much later so they just kinda survived palatalization? Im really curious.

I figured this is probably how the names would look if they suffered the same evolution process as other words did in these romance languages based on historical sound shifts in these languages.

🇮🇹 Chiodio, Ogosto 🇫🇷 Clode, Ogoûte 🇪🇸 Clodio, Ogosto 🇵🇹 Chodio, Ogosto