I always viewed it as a transaction--go to the news site and read the news, in exchange they will sell data on what articles you're reading, etc.
I was fine with that transaction. In fact, I would rather have them sell my data instead of charging money.
Consumers have a choice on whether or not they want to go to these sites, it's not like they are forced to give away their personal information to news sites.
I would say the GDPR blocking news sites is a net negative because it denies consumers the choice to read news stories.