TYPO3 12.4 sf_register - Extend fields to all fe_user fields (e.g., www, name, ...)

Question

Is there any way to add all fe_user fields (e.g., www, name, ...) to be able to be selected as input for the registration-edit user form?

Currently, there is a long list of items (e.g., username, pseudonym, ..) but some fields of fe_user are missing.