Hi Charles and Lee.
While I may not be able to answer your questions directly, I was in a similar predicament.
I have privately ordered a Yaris and after waiting for 6 months, my car is finally being transported to the retailer after sitting at Grimsby port for 1 month. My salesperson said that a lack of drivers was the main issue, in which I imagine they meant HGV drivers. Going by my timescale, you could be looking at least 1 month.
Motability cars:
2015 RR Evoque AWD 2.0 TD4 SE Tech - written off
2017 Toyota CH-R 1.2T Dynamic CVT AWD - written off
2019 BMW X2 2.0L Sport
2023 Nissan Qashqai e-Power N-Connecta