What I don't understand is this: A person is provided with the opportunity to knowingly break the law. They choose to go ahead and break the law. But because the opportunity provided was fraudulent, they cannot be convicted:
by pretending falsely to be young children, the vigilantes had acted unlawfully.
In UK law it is illegal to pretend to be something you are not in order to lure a child into sexual activity. So by pretending to be underage children, these genius vigilantes themselves were straightaway guilty of grooming. And from what I can see that is the point upon which the whole sorry house of cards collapses.
In your example ..
A burglar attempts to steal the jewellery in a shop window. When he picks it up he discovers that it is fake and changes his mind.
it's a little more akin to a bunch of vigilantes break a jewellers window, and then hide (probably not very well - we've already established they are idiots) and pounce on the first person who leans into the (now broken) display to inspect the "jewels" saying "Gotcha !".
Probably not a perfect analogy. But we return to a theme. You don't uphold the law by breaking it. Certainly not if you aren't the police.
Very few vigilantes have ever done any good in history or across the world. And if they feel so aggrieved by the lack of the government "doing something about it", it's a shame they couldn't invest their time and effort into volunteering, or scouting, or adopting, or DoE or any number of activities that would benefit young people much more than running around the country pretending to be Batmans younger brother.
Vigilantism is all very well until someone innocent gets killed.
www.theguardian.com/uk-news/2013/nov/28/vigilante-lee-james-life-murdering-bijan-ebrahimi
(I can't post that story without tearing up - and I'm supposed to be a professional FFS).
If you want to support vigilantes being allowed to do as they please then how many Bijan Ebrahimis are you prepared to allow a year ? One ? Two ? Maybe 10 in a 10 year period ?
Or - novel idea. Howabout zero, and we do all we can as a society to discourage these gory glory seekers and support the proper authorities. And if we aren't happy with the proper authorities, use our democratic rights to replace them.
That's the other argument against vigilantism. It's so fucking lazy.