Add formatted Name as Tokens

Maybe we should fully review the token area...

FILE: name.tokens.inc
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FOUND 0 ERRORS AND 2 WARNINGS AFFECTING 2 LINES
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 42 | WARNING | Variable $old_tokens is undefined.
 63 | WARNING | Unused variable $known_tokens.
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lol, or actually port and implement the tokens:

/**
 * Implements hook_token_info().
 */
function _name_token_info() {}

 /**
  * Implements hook_tokens().
  */
function _name_tokens() {}

Since token module provides most of the functionality and extending this could prove to be a bit of a quagmire, decoupling from #2949574: [meta] Name Field Full Release

The old code isn't actually triggered and support is provided indirectly via the Token module.

Support for using format settings per individual name items wasn't too bad, supporting list support was a nightmare as Token module switches token structure based on the cardinality.

#5 suggestion will work, create your own token and set name field in the token.
Here is another example of hook_token in d8.

/*
* implement hook_token_info()
*/
 function custom_token_info(){
  $types['name'] = array(
    'name' => t('Token for name'),
    'description' => t('name token')
  );	
  $tokens['name_f'] = array(
    'name' => t('Name'),
    'description' => t('Token for name')
  );
	
  return array(
    'types' => $types,
    'tokens' => array(
      'name' => $tokens
    )
  );	
}

/*
* implement hook_token()
*/
function custom_tokens($type, $tokens, array $data, array $options, BubbleableMetadata $bubbleable_metadata){
  $replacements = array();
  if($type == 'name') {
    foreach ($tokens as $name => $original) {
      switch ($name) {
        case 'name_f':

        $url = Url::fromRoute('<current>');
        $path = $url->getInternalPath();
       
        $path_args = explode('/', $path);
        if (isset($path_args[1])) {
          $first_argument = $path_args[1];
          $replacements[$original] = $first_argument;
        }
        break;
      }
    }
      return $replacements;
  }
}

lol, yes. But no as per #7

Fairly good support via Token module and NameItem::propertyDefinitions()

https://cgit.drupalcode.org/name/tree/src/Tests/NameNodeTokenReplaceTest...

About 400-500 loc to reimplement all of the features from Token provides for free;

Or make Token module a dependency and call internal private functions that could break at any time;

Or updating the hook weight, a token alter and it was fairly easy to add new additional tokens to the list, albeit these would be limited to single field items:

i.e. field_token_info_alter()

      $field_token_name = $token_type . '-' . $field_name;
      $info['tokens'][$token_type][$field_name] = array(
        'name' => Html::escape($label),
        'description' => $description,
        'module' => 'token',
        // For multivalue fields the field token is a list type.
        'type' => $cardinality > 1 ? "list<$field_token_name>" : $field_token_name,
      );

i.e the FIELD_NAME:PROPERTY and FIELD_NAME:0:PROPERTY type tokens that change with cardinality (when will people stop doing this....)