Carla, I feel bad answering for Mr Coren, but this is as I understand it...
His daughter would have had very little real hope in the last 10 years of getting into the school he wanted for her. This is the school opposite the nursery she attends. They live too far away. He must have known this. It's a shame he let his daughter think she would be going there.
It's a very popular school with the NW London Media middle classes and people have done all sorts to get in there. It's also the state school of choice for some parents, it's that or private. Some parents pay the deposit on the private school place, enter the "lottery" of getting this one school, lets call it PE. If they get PE they are sending their child a local state " community is so important". If they don't get PE they then tell everyone who will listen how dreadful it is they didn't get a decent school,so very sadly they have had to pay.
I understand from GC partner's Twitter feed that in fact their daughter will not need to be home educated as she had a place at a private school on the state school offer day.
Unfortunately for him he doesn't live near enough to the schools he would have preferred. He wasn't near enough to the other schools he wouldn't have minded. Again that would have been easy to work out on previous years distances too.
Again, for the past 10 years or so the school he would have been guaranteed a place at school C, one that is very near as the crow flies, but not near to walk to. It is traditionally an unpopular school although it's results are similar or better than other more popular schools.
So, the long and short of it is that yes, his daughter was probably offered a very local school, probably school C. It was probably the school he knew she would be offered. It was probably not one of his preferences for whatever reason only he can know. I would imagine the facts wouldn't make good copy.
The things he wrote about the easily identifiable to locals school C were cruel, disingenuous, unnecessary and very sad for the children who do attend the school. I suppose he has to earn a living and now he needs to pay school fees on one of the most expensive private schools in the area.