@Bythemillpond
NeverDropYourMoonCup
I think the issue is with the parents not knowing how to behave in a restaurant and therefore not being able to teach their children how to behave.
Funnily enough a lot of your list was about adults bad behaviour not just the children.
Not funny at all, IMO - the parents are responsible for both their own behaviour and that of their children. Ban the kids and you would have lost around 90% of the worst bits.
Number 7 though
Oh, it really did. Made for a rather loud complaint from somebody else (which obviously included a demand for free meals and drinks as compensation) because somebody's kid was laying half under the next table with their legs hanging out and nearly got trodden on as they were all being hoyed out of the pub by the bar manager and 2nd chef so they could continue the screaming in the car park.
I notice you don't question the shit, vomit and dirty nappies, though 
By the way, this wasn't a bargain basement pub in a shitty area. It was one in a very expensive one where I'm sure they envisaged the majority of the clientele bringing their darling infants, preschoolers and well behaved older children for a little play in the brand new area for 20 minutes before going to sit down for a lovely meal and chat about nurseries, ballet and nannies. A good 85% of the incidents were caused by people who knew exactly how to behave in a restaurant but chose not to when they had their children in tow.