After a 26 day between my documents being delivered to Durham and being formally “received” by Durham, it has then taken precisely one week to move from received” to actually getting the new passport delivered (speaking slightly too soon as it’s due via DHL later today).
This was for an application sent from and received back to Europe.
So, for all those worrying about your documents not being logged as received, I think there are grounds for optimism. That wait does appear to be comfortably the longest part of the process for many of us.
Good luck, all.