Private schools are not bound by the same inspection standards as State schools so you can’t read across. Headteachers in state schools are not allowed to authorise in- term leave for non-educational purposes like holidays. However, in practice, low-attendance procedures usually only kick in when a child’s attendance drops below 95% and at that stage it is just a meeting with a school officer (and possibly a governor) - sometimes called an attendance panel - but really just a chance for you to explain (after the event) the circumstances and that it’s not going to be a regular occurrence. (Schools have to do them to demonstrate to Ofsted and the local authority that they take absence seriously and enact their own policies and procedures). Referral to the Council happens usually when attendance falls below 90% and usually prompts a standard warning letter. (Again the LA has to be seen to respond to avoid Ofsted criticism). Statutory fines and court cases are steps further down the road and are rare in the circumstances you describe. Many Wandsworth families take primary age children out of school for one week (for holiday or to visit family overseas or to travel with a parent who is working abroad for a stretch) without any negative consequences where attendance is otherwise good and the child is achieving well in school.