Inverted commas used there to imply chuckling dismissal of the notion that there was ever such a thing as a working class. Surely they were just a myth invented by governesses to frighten children?
As Daniel Barrow observed, "It probably seems fairly obvious to those involved in the riots that they exist in a particular relation to the means of production, e.g. having to sell their labour in an open market (& getting nowhere). The fact that the media don't seem to get that seems pretty symptomatic to me."
But, yeah, correcting the rioters on their social self-construction is absolutely the right move to make right now. Everything'll flow from the use of the correct nomenclature (handed down by approved media outlets, naturally).
Stupid Tyrone, though - if only he was proper working class (respectable, unionised, and employed in a production job), he'd be out of poverty in no time. He's only got himself to blame.