Change the theme name in theme_settings.php for subtheme?

There is nothing in the Documentation about the theme_settings.php file. Should I change any of the theme names to my sub-theme's name?

The include_once line uses 'blueprint'; the other lines use 'BPSTARTER'. I copied the code excerpt from BPSTARTER theme_settings.php to show the example. ---Ashford

// Include the definition of blueprint_settings() and blueprint_theme_get_default_settings().
include_once './' . drupal_get_path('theme', 'blueprint') . '/theme-settings.php';


/**
 * Implementation of THEMEHOOK_settings() function.
 *
 * @param $saved_settings
 *   An array of saved settings for this theme.
 * @return
 *   A form array.
 */
function BPSTARTER_settings($saved_settings) {

  // Get the default values from the .info file.
  $defaults = blueprint_theme_get_default_settings('BPSTARTER');