M-B Parts distribution in the UK works a little differently, there is a giant parts warehouse in Milton Keynes servicing the entire UK incl NI and CI.
Basically dealers keep very little stock of parts, all parts needed for upcoming work is ordered the day before, and delivered around 4am into the dealership (the logistics and deliveries have their own keys and secure delivery arrangements). So retail dealerships don’t keep parts “on the shelf” as such, save for really common items and consumables.
MBUK Truck and Vans also work overnight, servicing your van during your downtime, so you don’t lose a days work with VOR, but they have the same arrangements with same day deliveries for parts.
And yes, A45(s) sales are tiny. In the UK there were roughly 200 new A45s registered in 2022 (cf 1.6m total new car registrations in the UK in 2022). No world numbers to hand.