This would be correct as you have set the Credit Card as the Vendor and made the statement an invoice.
For the reason of reporting as you find necessary I enter all credit card purchases to the individual vendors and then pay them with the credit card. This gets the necessary purchase information in each vendors ledger record. I also record the statement total as a purchase against the credit card issuer and use the credit card liability account instead of an expense account. Any interest is handled on a separate line and expensed directly. In this manner the credit card liability account can be reconciled to zero every month and the Credit Card Issuer (vendor) in the A/P maintains the amount outstanding if the full monthly charges are not fully paid each month.