I totally agree, all of the parks I've been to are like that. Turkish families also take packets of biscuits, crisps etc and its shared out amongst all the children playing not just kept to their own children. We always make sure we have a couple packets of biscuits with us.
The other week Cem our oldest who is 3 was watching a group of teenage boys on bikes. After a while two of them came over lifted him onto a bike, pushed him round and round the park one either side of him supporting him.