What is a statement for?
An invoice asks for one payment. A statement shows the whole relationship: what has been invoiced, what has been paid, what has been credited, and what is still outstanding. It is the document that resolves the conversation that begins 'I thought we had paid that'.
It is not a demand and it is not a new invoice. Nothing on a statement should be new to the customer; every line refers to a document they already have. Its job is to reconcile their records with yours, and, quietly, to remind them of anything overdue.
Most businesses send them monthly to customers on credit terms, and on request to anyone querying a balance. Sending one automatically at month end is the least awkward form of chasing there is.