Custom paths in Drupal 8

Hi juankvillegas
There isn't any such option in Taxonomy Menu as of now. You will have to use other site building techniques to achieve that.
Thanks.

Is there any intention to implement that?

I worked around this by implementing hook_menu_links_discovered_alter().

Here's an example that replaces the default path with a url pointing to a catalog view + facet.

function commerce_demo_menu_links_discovered_alter(&$links) {
  $alias_cleaner = \Drupal::service('pathauto.alias_cleaner');
  $facet_storage = \Drupal::entityTypeManager()->getStorage('facet');
  $term_storage = \Drupal::entityTypeManager()->getStorage('taxonomy_term');
  $view_url = Url::fromRoute('view.product_catalog.page_1', [], ['absolute' => TRUE]);
  $view_url = $view_url->toString();

  foreach ($links as &$link) {
    $menu_name = isset($link['menu_name']) ? $link['menu_name'] : '';
    if ($link['provider'] == 'taxonomy_menu' && $menu_name == 'catalog') {
      // Generate the path to the view + facets.
      // Assumes that the facet is named the same as the vocabulary.
      $term = $term_storage->load($link['metadata']['taxonomy_term_id']);
      /** @var \Drupal\facets\FacetInterface $facet */
      $facet = $facet_storage->load($term->bundle());
      $label = $alias_cleaner->cleanString($term->label());

      $link['url'] = $view_url . '/' . $facet->getUrlAlias() . '/' . $label . '-' . $term->id();
      $link['route_name'] = '';
      $link['route_parameters'] = [];
      $link['load arguments'] = [];
    }
  }
}

Just spent a while trying to work out how to do this based on "Uses the default taxonomy term path or custom paths" being listed as a feature.

Would be great to see this added. Thanks :) Or at least maybe remove it from the description?

Thanks @bojanz I did similar:

function taxonomy_menu_fix_menu_links_discovered_alter(&$links) {
  $term_storage = \Drupal::entityTypeManager()->getStorage('taxonomy_term');
  foreach ($links as &$link) {
    $menu_name = isset($link['menu_name']) ? $link['menu_name'] : '';
    if ($link['provider'] == 'taxonomy_menu' && $menu_name == 'main') {
      $term = $term_storage->load($link['metadata']['taxonomy_term_id']);
      $label = strtolower($term->label());

      $link['route_name'] = 'view.category2.page_1';
      $link['route_parameters'] = ['arg_0'=>$label];
      $link['load arguments'] = [];
    }
  }
}

That could be a useful feature, but I think we would want test coverage to make sure it worked as expected.