We have similar in France, at least for some banks.
Normally, an invoice can only be created if there is a legally established invoice communicated… by definition.
We receive a monthly invoice listing the VAT and non VAT subjected charges and commissions including a booking date for each which are the same dates found on the bank statement.
Currently we book the statement lines ex-VAT charges and commissions directly to the appropriate account (typically 6278 or 6616 in the French plan) and, when VAT is involved, add a line booking the VAT directly to 44566x. The invoice is kept with the statement.
Nevertheless we are considering, for audit purposes, booking the full invoice and, consequently, the statement move(s) to the bank’s supplier account - then manually reconciling on a monthly basis…
unfortunately it seems impossible to select invoices for [partial] payments in the invoice selection wizard invoked during statement data entry (neither multiple statement lines for one invoice as in this case, nor for multiple invoices per statement line which happens upon occasion as well).