Make injected Logger service a closure

Problem/Motivation

Follow up to 📌 Deprecate user_logout() and user_login_finalize() and replace with a service Needs review

Catch commented https://git.drupalcode.org/project/drupal/-/merge_requests/4539#note_276563

This should be a service closure - .e.g. we don't want to instantiate the logger and its own dependencies when someone just looks at the registration form.

We don't have any example of how to do this yet, so added as a follow up.

Steps to reproduce

Proposed resolution

Remaining tasks

User interface changes

API changes

Data model changes

Release notes snippet