Isn't the 12.30 collection a hangover of postal services in London? I know they had something like 6 deliveries per day so you could send a letter in the morning, have a response later in the same day, and then send another reply. I know there also used to be more than 2 collections from post boxes (at least in Liverpool) until maybe the past 10 years or so.
I also guess logistically it makes a lot more sense. Rather than have the handling and sorting offices overwhelmed by receiving all the mail at once, it's paced out during the day and could even possibly start it's ground journey slightly earlier.