@c.ciprian Welcome to the forum!
No, that is not necessarily the case. You can independently enable/disable Chrome’s management of password, identities (personal info/addresses), and payment methods.
After you disable “Make Bitwarden your default password manager” in the Bitwarden browser extension and enable Chrome’s saving/auto-filling of payment methods, go to chrome://password-manager/settings and ensure that everything is disabled there. Additionally, go to chrome://settings/addresses and ensure that this is either enabled or disabled according to your preferences.