If you click disagree, the site just doesn’t work at all. Instead, gadgethacks.com shows you this.
You know, normal sites make you accept the bare minimum that is required for the site to function, and give you an option to accept or reject all the tracking cancer and advertising plague.
In Spain most of news webs have been doing this more than a year. You can choose between accepting cookies or paying a monthly subscription to refuse cookies. They say that the EU law doesn't say that the option to refuse cookies has to be free, although Facebook was fined for doing exactly that recently. So, yeah...
In most of them what works is disabling JavaScript scripts execution.
I have an extension that lets me block sites from search results. Half the spanish news sites are blocked, because I'm tired of seeing an interesting result, clicking on it, not being able to refuse cookies and having to go back.