Update the whole wishlist every time an item is added or removed, considering the wishlist is always present in all pages

wishlist-update.js

/**
* Update the whole wishlist every time an item is added or removed, considering the wishlist is always present in all pages
* Plugin: Wish list for WooCommerce
*/

jQuery(document).ready(function($){

	//Get your wish list element first (Replace it by your wish list css class)
	var wish_list_div = '.wish-list';

	//Every time an item is toggled (i.e added or removed)
	$("body").on('alg_wc_wl_toggle_wl_item', function (e) {

		//Call a ajax function that gets the wish list shortcode
		$.post(alg_wc_wl.ajaxurl, {action:alg_wc_wl_pro_get_wl_shortcode_ajax_action}, function (response) {

			// Replace your wish list content by the updated one that comes through ajax
			if (response.success) {
				wish_list_div.replaceWith($(response.data.shortcode));				
			}

		});

	});

});