I applied for a first-adult passport after naturalisation. I sent the documents to the Liverpool office via next day delivery. Although it took one month for them to receive my documents (I was told by Royal mail, that they had to keep mail in their Liverpool warehouse as staff at the passport office were not able to sign all mail received..), I was pleased that the application was approved within 3 weeks after showing as “being processed”!!!
The message I received today says that now my passport will be sent to print..
Application approved 7:36am on 3 June 2020
Application being processed 1:10pm on 13 May 2020
Documents received 5:34pm on 30 April 2020
Application received 3:21pm on 3 April 2020