It's great to know your interest in connecting your WooCommerce with QuickBooks Online (QBO), Daniel.
To address your queries, when WooCommerce is connected to QBO, the invoice status will be automatically updated to PAID in QuickBooks once the order/payment is marked as complete on your WooCommerce store.
However, the payment type assigned and how the invoice payment is deposited is dependent on how WooCommerce maps the information in QuickBooks.
Furthermore, you might find it beneficial to explore this article that provides guidance on connecting WooCommerce to QuickBooks Online using QuickBooks Connector (OneSaas): Connect WooCommerce to QuickBooks Online with QuickBooks Connector (OneSaas).
Keep me posted if you require further assistance or have additional QuickBooks-related queries. I'm sure to circle back and provide you with the necessary help.