I think the idea of letting kids come into your garden is best if you don't want to have kids knocking on the door seventeen times a day. Kids gonna kick, eh?
Unfortunately there seems to be a lot of resistance in this as in the uk a "man's home is his castle" etc etc
a) people feel that their garden is for their own exclusive use and it's their property and they pay to maintain and insure it.
b) the walls and fences seem too poor a quality to allow anyone to climb them.
c) people can be rather strange about their neighbours, and actually don't know or talk with them in the UK, so the suggestion of making an arrangement of throwing the balls over once a day, or similar seems to be causing a few ruffled feathers.
All this is understandable, not excusable and seems to be a national trait which the rest of the world does find rather peculiar tbh.
The style of gardens where the walls and fences are low or nonexistent seems to be a better set up for children playing outside, and this seems to be the set up in Math's (US?) neighbourhood.
However in the uk it seems that this isn't the set up, so Maths' suggestions are falling on deaf ears, as things aren't set up that way. There are barriers to ease of access and communication it seems.
I think math's area sounds more child friendly actually, and her posts show compassion.
Some of the posts deriding her and her lateral thinking suggestions are truly vile and bullying, and to those who made them, hope you all feel good about yourselves for having a go. There are people behind the words on the screen you know even if they have different opinions to yours and there's no need for hectoring, bullying and personal attacks. Peace and love y'all.
I think we all have a choice about what to do about children knocking on doors asking for their balls back, and it seems the most humane thing is to talk with our neighbours, arrange a mutually convenient time to return the balls if you don't want a neighbouring child retrieving her own ball, and play nice with everyone.