I survived school only because of the long summer holidays. It took me at least a week at the start to take off the 'armour' I needed to wear at school in order to survive, and another week at the end of the holidays to redevelop it in time for the return. As it was, I had seriously overdosed twice while only in primary.
There are many children for whom the only time they might be even slightly happy is bang in the middle of 6 paltry wekes they get in the summer, away from school
School can be a nightmare for quite a few kids, and I can only see those numbers increasing. Keep the long summer holiday. Give kids a chance to be kids.
Also, why do police get special dispensation? All companies try to stagger employees holidays, so why them in particular?