The old world of media had a price for each viewer/reader of various mediums. The new world of media also has a price too and the old price doesn't apply. Readers are now usually worth substantially less then they were. An online news impression is worth less than a print one. In parallel, the democratisation of the web has created additional competition that has taken away some eyeballs, especially in the juicy parts of the business (eg classifieds). The effect of aggregators as competitors is an example of the type of effect that hurts them and is related to copyright somehow. This last is a very small & insignificant part of why they are failing.
In some cases, copyright enforcement might theoretically recover some or all of their revenues. Music is an example of this. If people couldn't pirate music, they would probably buy more of it. The move to digital probably affects sales somehow, but it is not necessarily negative. Film, TV, Books etc. are also examples of these cases.
The first type of company has business models made obsolete by technological & cultural changes. The second kind have business models that fail because the lost the ability to enforce copyright. Companies of the first kind usually think that they are of the second. Both types of companies would be happy if the Internet just went away.