As for the vendor electronic invoices for Italy (https://docs.microsoft.com/en-gb/dynamics365/finance/localizations/emea-ita-vend-e-invoices), the design does not feature the same automatic change of the status in Sent, because it is linked to the Print button, that is included in posting invoice mask for customers (both free text and sales invoice), but it's not included in vendor invoice posting as well.

The idea is to include this functionality also for vendor side, to facilitate user workload and avoid errors.