Isn't the purpose of GPLv3 to handle Tivoization and AGPL was made to handle server-side sort of use-cases? If I use AGPL-licensed software in a SaaS type of e

Isn't the purpose of GPLv3 to handle Tivoization and AGPL was made to handle server-side sort of use-cases? If I use AGPL-licensed software in a SaaS type of environment, I still need to release the source-code even if I'm not distributing the software directly, correct?