Resolve "Follow-up: Refactor specs and streamline status page settings"

What does this MR do?

Ensures we always have a status_page_setting object (read or newly built) to provide to the Helper.

Also refactors some specs to a preferred format.

Does this MR meet the acceptance criteria?

Conformity

• [-] Changelog entry
• [-] Documentation (if required)
• Code review guidelines
• Merge request performance guidelines
• Style guides
• [-] Database guides
• Separation of EE specific content

Availability and Testing

I've tested the frontend on supported browsers.

Closes #209014 (closed)