Moleskin, I can tell the borough you are in from a local post. I have lived in the borough for about 10 years.
The stance of the LA is very typical of them. This is how they run things. Every year, there are people who have no place right up until the last minute. The LA assumes that if you live here you must surely have enough money for private school underneath your floorboards :(
There is little concern for families and the stress it causes although you will probably read in the local press that they are "very concerned". They are not, they are only concerned with meeting their budgetary requirements and only running schools with 0 spare capacity. They will simply say that they can not help if our schools are so good that everyone wants to move here...It's an old chestnut that's been running for about 20 years and every year it is the same situation.
There is an additional similar number to getting no place who also got none of their 6 choices, so in total about 150 seriously unhappy parents. I know quite a few with nothing around the centre of town.
Last year there were over 300 places rejected by Sept, there is a report on the councils website (search browse committee documents, then Admissions forum, Sept 2013) that details for each primary, the nature of the rejections, whether it is a move, going to private or getting a better choice. PM me if you can't find it. It may reassure you.
This year however is slightly different in that they announced a huge number of bulge classes on offers day. Only a few were public knowledge beforehand. S Mount and the Vyard were expanded and I think both of these schools are popular among potential private school parents, so if anything I think there will be less filter out to private for these 2, but that's just my opinion.
I think the wait lists will trickle if there are no more additional classes, I can't see no more bulges happening. The reason they don't announce these or delay them is to try to ensure that as many people as possible move out of the state sector or move away (I had this info from a councillor in an email btw), effectively they are solving the councils problem for them.
I do know of 2 families though who have the school I think you are after and 1 is planning a move abroad but it is not definite for Sept although it is definite, so she is keeping a place, and another who has since moved to the other side of the borough is looking to move to a school on her street and is on a wait list, so that's 2 more you probably didn't know about. But you are right, most people who got this school will have put it 1st choice.
We got 4th choice school, but are selling up and moving quite a way away. We felt it just wasn't worth the ridiculous house prices to get a school that we thought would just about be ok, when you can move, get a bigger place and also get a school that is probably just as good.
Are you on Twitter ? Write to the local paper ?