Configuration:
WordPress 4.1 The Events Calendar PRO 3.9 The Events Calendar: WooCommerce Tickets 3.9 WooCommerce 2.2.11 WooCommerce Product Bundles 4.6.2 For an Events
With heaps of help from @helgatheviking I have been able to come up with the following solution in my functions.php:
function cit_update_cart_count() {
global $woocommerce;
$count = 0;
$cart = $woocommerce->cart->get_cart();
foreach ($cart as $key => $value) {
if (!isset($value['bundled_items'])) {
$count += $value['quantity'];
}
}
$woocommerce->cart->cart_contents_count = $count;
}
add_action('init','cit_update_cart_count',10);