I don't think it's so cut and dry. The Telegraph stupidly exaggerated the results of the poll in order to generate a click-baity headline, which was completely un-necessary. Then you have publications like the New Statesman who then exaggerated the transgression by the Telegraph, calling them "Lies, damned lies", as if 99% of the mainstream media don't exaggerate things in exactly the same way, all whilst injecting a bit of their own unfounded hysteria into the mix ("empty shelves and lorry queues and punch ups outside pharmacies that will inevitably follow").
The media is spiralling out of control. Each trying to out-do the other with ever more outrageous claims and deceitful exaggerations until the whole thing has escalated to tribalistic warfare. Casualty #1: rational debate.