No way would I consider inviting children into my property. Are you mad? If I saw any neighbour doing that it would be a major concern. Do you not see a problem with this?
Where I live, I probably know most of the kids by name, and they often are on or near my property.. They are all good kids and I think it strange you would ask someone if they were mad to commuicate with their neighbours.
Where I live, there is a great sense of community and all the kids are constantly running in and out of places.