At present when a payment from a bank account creates an invoice from tagging rules the payment always appear as “bank transfer”, also when paying down from receipt hub.
If there was a facility in each bank account to set the default type of payment method(s);
current account - payment methods: cheque/standing order/direct debit/bank transfer
cash account = cash
credit card accounts = credit card
paypal = paypal
The majority of accounts have a single default method of payment, to get around the accounts where there is a choice of payment there could possibly be an additional box in bank tagging rules to set what the rule will use as a payment method.