I don't understand this.
The OP clearly wants olive in either Richmond or Muswell Hill.
She says she's done lots of research - and you can see that she has from the OP. And a lot of that research is specifically about schools - primary and secondary.
She's asked for advice about those two areas only.
Yet posters are coming on with suggestions about Wimbledon, Between-the-Commons, St Margaret's, etc.
Why? She's clearly not interested in those areas, she's said so and she's clearly done a lot of research. I suspect she knows more about schools in those areas than some of the posters.
And she's listed state schools, too - so there's a good chance she doesn't want an area where the secondary options are often to go private.
Now, I'm sorry if I added to that with my comments about Between-the-commons - my point there was that there were good reasons she's ruled it out.
I'm sorry if I sound snarky or irritable but I just don't get it. It's like posting for a recipe for soup and having a load of posters telling you that a. they don't know how to cook soup b. they don't like soup c. here's a recipe for roasting beef instead.
It's odd.
And I actually wonder if some of the posters actually have children/and are interested in primary and secondary schools anyway.