Wrong buttons displayed if Media Library's advanced UI is enabled

Following. I also found myself confused by this (and am making a video walk-through for a client, so honestly wasn't sure which button recommend (after testing, I'm going to recommend "Save and select", since "Save and insert" is ambiguous about whether it actually did anything (though it does indeed upload them too, just doesn't redirect anywhere))).

I also encountered this issue but decided to mitigate it by removing the "Save and insert" button action and renaming the "Save and select" action to "Save Media".

I used a custom module with a form alter hook.

function HOOK_form_alter(&$form, \Drupal\Core\Form\FormStateInterface $form_state, $form_id) {

  if ($form_id === 'media_library_add_form_upload') {

    if (isset($_GET['media_library_opener_id']) && $_GET['media_library_opener_id'] === 'media_library.opener.bulk_upload') {
      if (isset($form['actions'])) {
        $form['actions']['save_select']['#value'] = new TranslatableMarkup('Save Media');
        unset($form['actions']['save_insert']);
      }
    }

  }

}

This only affects the bulk upload form from the media overview screen, and not any individual upload field found on a node edit form. Hopefully this helps someone.