In my analogy that would be like forbidding your child from having a bike because they might go somewhere that would sell them beer, rather than simply a general, mostly-reliable prohibition on selling beer to kids.

Or, if you do let them have a bike, it requires you to follow them around everywhere to be sure they don't go to a liquor store.

It's a completely over the top level of control. Yes it would work but also do as much harm as good.

The bike analogy depends a lot on where you live. There are places where you would not let your kids ride anywhere they wanted without supervision and there are places where the opposite is true. The internet is one "place" and you'd need to adapt your bike analogy to that place.