Hi abitpearshaped
I think Independant schools are supposed to inform the LA. In practise they don't always do that apparently.
Wouldn't really matter, you will have fulfilled your obligations by writing the deregistration letter. You have no obligations to tell the LA, nor worry if the school don't.
You daughter sounds like my son was. Only relaxed at weekends-and even then worrying about school next week.
Even took them to Alton Towers as a surprise one teacher training day and he mithered all day about getting home "Because otherwise I won't have enough time at home before I have to go back"
He'd start worrying openly about school about two weeks before the end of the summer hols.
Home was the only safe place for him and he wanted to be there.
Once we deregistered, that slowly changed. he was much more relaxed immediately, and slowly started to go out more.
Folks haven't realised he was related to me for years now. They just never saw him with me. I used to say at home ed camps "Yes I have three children, See that young man way over there, in that crowd of youngsters, the one with the very long hair, that's my lad"
He, like my other two, is an independent, free-thinking, relaxed, confident, happy individual. I out that entirely down to home education-and so does he.