We have these in Ireland, too. Always vaguely assumed they were a money laundering thing; never anyone in them, really.
There is one famous, very real, very popular American candy store in London -- Kingdom Of Sweets -- which is absolutely legit and has been trading for twenty years, having started elsewhere. It was famous in British geek culture for being where you bought all the sweets you heard US geeks talking about on Foothills and Surfers and the like.
And then there's a couple of likely legit competitors, and then... a whole layer of fakery, fraud and shell companies.