there's definitely a market, but probably not at the revenue targets that newspapers have. I pay $12/mo for netflix, and $10/mo for spotify. i'd be happy to pay another ~$10/mo for a news service that gave me access to a similarly broad offering of newspaper articles.
but the way newspaper web-access subscriptions are priced, to get the same broad bundle of content as what i get from spotify or netflix i'd be paying thousands of dollars a month, which i'm absolutely not willing to do.