"Why? They don't get changed for PE! They put their trainers on and take their jumpers off!"
They have introduced a sports kit for Senior School and above, and children of that age do need changing rooms (certainly for those in KS3 equivalent).
EYFS is mandatory for all schools in UK. Private schools can vary it within some parameters, but have to use it. This is the law. Hill House is not exempt from it.
And playing space outside isn't a synonym for sports fields. Other schools may have sold off playing fields, but not their playgrounds. Other inner city schools have premises with adequate playgrounds. Though I agree that parents should be able to choose a school without playgrounds (or with only small ones) I can't see it as a desirable point for the school.
And phonics isn't a latest fad! It's the centuries old tried and trusted method, that many (most?) private schools kept with (because it works best) even whilst state schools went through the fad of mixed methods, look and say etc.
OFSTED weren't trying to lay down a curriculum, anyhow. The criticism seemed to be on staff not knowing what the school's curriculum was (as described by the staff themselves) and no-one keeping track of how a pupil's learning was progressing. (OFSTED are required by law to inspect all EYFS and boarding provision, and have always provided inspections for private schools who request them. I've no idea why HH chose OFSTED as its inspecting body, when others were available to them).
The safeguarding issues were biggies like fire safety and not requiring visitors to sign in.