At the risk of going OT, having had 2 AF vouchers issued so far, that has not been my experience.

The first was for a ticket for which I was informed on March 27 of the cancellation; I immediately requested the voucher, received a confirmation of the request 2 days later, and the voucher itself on March 30. That was handled by the Platinum Service line, which may explain the quick turnaround.
The second was for a ticket for which I was informed on April 16 of the cancellation; I immediately requested the voucher, received an automated "Waiting times may be longer than usual" reply the same day, and the voucher itself on May 1.