Woocommerce custom shared taxonomy

I’ve added custom shared taxonomy season for product type from woocommerce and my custom type care. Care type and taxonomy are created in functions.php file of my custom theme.

add_action('init', function() {
    register_post_type('care', array(
        'labels' => array(
            'name' => __('Cares'),
            'singular_name' => __('Care'),
        ),
        'menu_position' => 4,
        'public' => true,
        'show_ui' => true,
        'has_archive' => true,
        'publicly_queryable' => true,
        'supports' => array('title')
    ));

    register_taxonomy( 'season',
        array('product', 'care'),
        array(
            'label' => __('Season'),
            'show_ui' => true,
            'hierarchical' => true,
        )
    );
});

Now when I access season taxonomy term, no matter which post_type been passed, I always get to woocommerce products archive, i.e. http://example.com/?season=helloworld&post_type=product and http://example.com/?season=helloworld&post_type=care lead to the same page with woocommerce products archive.

How to make woocommerce share taxonomy properly?

P.S. Using WordPress 3.8.1 and Woocommerce 2.0.20. No explicit rewrite rules added.

Found solution for this problem.

It turned out that woocommerce affects post_type query variable in pre_get_posts filter without checking that another post_type has been requested. It’s done in WC_Query.product_query method:

if ( ! $q->is_tax( 'product_cat' ) && ! $q->is_tax( 'product_tag' ) )
    $q->set( 'post_type', 'product' );

Fix for this problem is simple. You just need to check that product post type has been actually requested in the beginning of product_query method:

// Check that product post type has been requested
if ($q->get('post_type') != 'product')
    return;

After that everything works fine.

Update:
Fix has been merged into woocommerce master branch: https://github.com/woothemes/woocommerce/pull/4582.