Well, Steeler said this is an oven so I assume the OCPD is at least a 30 Amp. So 250.118(5)(b) is not met.
I don't imagine he is using the flex as the EGC for his oven...?
The box is PVC so the cover plate is not bonded to the EGC by the screws.
It is bonded by the metallic connection to the flex which is connected to the metal oven, per 314.22 exception.
I can see you coming with an argument that, therefore, to the cover the FMC is an EGC; I'd say you're probably technically right, but I would take a metal cover bonded in this fashion for mechanical strength over a "safe" drilled plastic cover any day of the week, IMO. It's kind of odd that the bonding would be good enough for the FMC but not good enough for the coverplate that has been punched, when you exceed 20A.
It's late, hope that made some sense.