Remove overlap in StandardTest and MediaDisplayTest

Problem/Motivation

Added MediaStandardProfileTest to test the standard profile form configuration, creation, field mapping and display configuration. We could expand on that in the future. See if we can move/remove the media specific code in Drupal\Tests\standard\Functional\StandardTest and see what we want to do with Drupal\Tests\media\FunctionalJavascript\MediaDisplayTest since there is some overlap.

A follow up from #2882473-29: Hide the media name basefield from the entity form by default → found while working on 📌 [meta] Convert remaining tests using Standard profile to use Testing profile instead Fixed

Steps to reproduce

Proposed resolution

Review the tests for duplicate testing and reword as needed

Remaining tasks

User interface changes

API changes

Data model changes

Release notes snippet