I suppose the counter to these moronic laws that make Brexit look like a great decision would be some new form of copyright like CC. We could in theory slap these on all community created content. My guess would be that this sort of information would be of much higher volume (and quality) than much of the commercial nonsense.
The only way to counter these laws is to repeal them - there's no workaround. Basically, some big corp like A.S. will use this law to require filtering of their "protected" news publications, and since the only way to filter the content is to match it against the latest publications, and it's quite unlikely that a 3rd party provider will be ever able to implement such filter, everyone will be forced to buy the filter from A.S. And from other publishers, of course. This new source of revenue (or, better say, rent) could be one of the reasons for lobbying this law.