DVLA Timescales

Honestly it’s Completely random so don’t stress about.
When I passed my car test it took like a week
Bike test 2 weeks
Cat c under a week
C and e almost a month

Maybe it depends on what time of the year you take it and if they are busy.
Maybe they take a small sample to do more stringent checks idk
Not worth worrying about you will get it soon enough
Don’t think it makes a difference if you live in a city though.