but thé French administration system; slow and onerous at the best of time is practically gridlocked.
This is not really true: many things in France are done locally, including residency cards, so it depends where you live. Where I live (rural département in the south west) getting an appointment for residency cards is apparently still very straightforward.
For citizenship I can easily believe there will be a backlog, but nevertheless there will be local variations. One friend has just applied (this month) and has already got her interview in May (this is in Toulouse).
My children's nationality applications - via a different procedure - were processed by the local court in under a week.