Hi @niklasinpsyde,
I did not see the selected products from the bundle in the order within the PayPal merchant dashboard or WooCommerce order details page. I tried to look WooCommerce cart sessions to find a clue but I think it was cleared after successful payment.
I am using WPC Product Bundles for WooCommerce (https://wpclever.net/downloads/product-bundles) and I am planning to change Product Bundles (https://woocommerce.com/products/product-bundles) plugin if it works properly with your PayPal Payments plugin.
Best.