Sorry, I updated this in the general form, but not on here.
I eventually received my passport on 7th May.
My timeline was this:
Application submitted 19 March 2023
Application received 19 March 2023
Documents received 24 March 2023
Application approved 1 May 2023
Passport printed 2 May 2023
So it took a month and a week to get approved. And that was after I eventually chased up through my MP in the UK, after many many calls to the helpline, so hard to know if it would have taken even longer otherwise.
Another odd thing was I received my old passport 3 days before my new one. So even when I thought I was lucky and would be able to travel on my planned trip, I had to move it back a couple of days. Hope you get some updates soon!