Select and radio button are linked incorrectly, how to link correctly?

Question

JavaScript

Already at the end of the workflow, I realized that my bugs were not related to ajax, but to the incorrect operation of selects with radio buttons
. and they conflict with my custom color meta fields and stuff like that - it's too late, too-too much to redo, and the directory options in them are paid, not sure there won't be the same issues.
Here is the site . The browser may swear at the technical domain, but it is there and the host is not free, not viruses. The selects should be hidden, but I opened them for demonstration that it does not always select correctly on a button click.

What did I do. Moved the button with variations from the product card to the catalog.

remove_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_loop_add_to_cart',10 );
add_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_single_add_to_cart', 10);

For the buttons, I took the snippet from here , but podshamanil under the markup I needed, AND ADDED THE PRODUCT ID TO THE ID OF THE ATTRIBUTES, so that they were unique in the catalog

function variation_radio_buttons($html, $args) {
  $args = wp_parse_args(apply_filters('woocommerce_dropdown_variation_attribute_options_args', $args), array(
    'options'          => false,
    'attribute'        => false,
    'product'          => false,
    'selected'         => false,
    'name'             => '',
    'id'               => '',
    'class'            => '',
    'show_option_none' => __('Choose an option', 'woocommerce'),
  ));

  if(false === $args['selected'] && $args['attribute'] && $args['product'] instanceof WC_Product) {
    $selected_key     = 'attribute_'.sanitize_title($args['attribute']);
    $args['selected'] = isset($_REQUEST[$selected_key]) ? wc_clean(wp_unslash($_REQUEST[$selected_key])) : $args['product']->get_variation_default_attribute($args['attribute']);
  }

  $options               = $args['options'];
  $product               = $args['product'];
  $attribute             = $args['attribute'];
  $name                  = $args['name'] ? $args['name'] : 'attribute_'.sanitize_title($attribute);
  $id                    = $args['id'] ? $args['id'] : sanitize_title($attribute);
  $class                 = $args['class'];
  $show_option_none      = (bool)$args['show_option_none'];
  $show_option_none_text = $args['show_option_none'] ? $args['show_option_none'] : __('Choose an option', 'woocommerce');

  if(empty($options) && !empty($product) && !empty($attribute)) {
    $attributes = $product->get_variation_attributes();
    $options    = $attributes[$attribute];
  }

  $radios = '<div class="variation-radios">';

  if(!empty($options)) {
    if($product && taxonomy_exists($attribute)) {
      $terms = wc_get_product_terms($product->get_id(), $attribute, array(
        'fields' => 'all',
      ));

      foreach($terms as $term) {
        if(in_array($term->slug, $options, true)) {
          $id = $name.'-'.$term->slug;
          global $product;
          $product_id = $product->get_id();
          $radios .= '<div class="attr-container"><div class="radio-span" style="background:' .  get_term_meta( $term->term_id, 'miniluna_pa_color', true ) . '"><input type="radio" id="'.esc_attr($id). $product_id. '" name="'.esc_attr($name).'" value="'.esc_attr($term->slug).'" '.checked(sanitize_title($args['selected']), $term->slug, false).'><label for="'.esc_attr($id). $product_id.'">'.esc_html(apply_filters('woocommerce_variation_option_name', $term->name)).'</label></div></div>';
        }
      } 
    } else {
      foreach($options as $option) {
        $id = $name.'-'.$option;
         global $product;
          $product_id = $product->get_id();
        $checked    = sanitize_title($args['selected']) === $args['selected'] ? checked($args['selected'], sanitize_title($option), false) : checked($args['selected'], $option, false);
        $radios    .= '<input type="radio" id="'.esc_attr($id). $product_id.'" name="'.esc_attr($name).'" value="'.esc_attr($option).'" id="'.sanitize_title($option).'" '.$checked.'><label for="'.esc_attr($id). $product_id.'">'.esc_html(apply_filters('woocommerce_variation_option_name', $option)).'</label>';
      }
    }
  }

  $radios .= '</div>';
    
  return $html.$radios;
}
add_filter('woocommerce_dropdown_variation_attribute_options_html', 'variation_radio_buttons', 20, 2);

function variation_check($active, $variation) {
  if(!$variation->is_in_stock() && !$variation->backorders_allowed()) {
    return false;
  }
  return $active;
}
add_filter('woocommerce_variation_is_active', 'variation_check', 10, 2);

JS part remained unchanged

jQuery(document).on('change', '.variation-radios input', function() {
  jQuery('.variation-radios input:checked').each(function(index, element) {
    var $el = jQuery(element);
    var thisName = $el.attr('name');
    var thisVal  = $el.attr('value');
    jQuery('select[name="'+thisName+'"]').val(thisVal).trigger('change');
  });
});
jQuery(document).on('woocommerce_update_variation_values', function() {
  jQuery('.variation-radios input').each(function(index, element) {
    var $el = jQuery(element);
    var thisName = $el.attr('name');
    var thisVal  = $el.attr('value');
    $el.removeAttr('disabled');
    if(jQuery('select[name="'+thisName+'"] option[value="'+thisVal+'"]').is(':disabled')) {
      $el.prop('disabled', true);
    }
  });
});

In what part of the problem - from the front or from the back? Maybe someone will see? Very helpful, even ready to thank.