Re: Does that mean
"and what about coffee shops / pubs that provide Wi-Fi for customers? are they operators under this?"
If the summary given in the article is correct then it would appear that they are. Whether that's by intent or by carelessness is a matter for conjecture. It's an aspect that should have received scrutiny in Parliament If my ex-MP's attitude was anything to go by I doubt there was much enthusiasm for such scrutiny, at least on the govt. side.
In a way I'm a little sorry he isn't still my MP, if he were I could keep asking him to clarify such issues that he voted for so unthinkingly.