Replace post search with product search

I don’t have a URL to share. It’s on a very early stage. I LOVE Flash – but this webshop client wants search in the navigation bar, to serach for products, not posts and pages.
It’s something like this:

function wpse_search_filter( $query ) {
    if ( $query->is_search ) {
        $query->set( 'post_type', array('product') ); // setting post type as product (for woocommerce only)
    }
    return $query;
}
add_filter('pre_get_posts','wpse_search_filter');

But this doesn’t quite do the trick.

Can you please confirm that IF I buy Flash Pro – I will get Woocommerce search option in navigation bar AND the search results will be displayed like products archives, not post lists? That’s the only reason I need pro.
Thanks in advance.