I never have any trouble reading the news. I never get harassed or blocked. I use a text-only browser.
The problem with online ads and tracking arises because 1. ads are permitted on the network and 2. "tech" companies rely on them to make money. Newspapers are not driving the development of the online ads business. They may be customers, but it is "tech" companies that write the browsers and websites and a gazillion lines of Javascript (collectively, "ad tech") that make the web extremely ad-friendly, at the same time lining "tech" company pockets, while newspapers die on the vine. "Tech" companies facilitate online ads in exchange for money. They sell nothing else. They purport to offer value for "free". This is just bait to lure in ad targets.
Newspapers produce journalism. They hire people to produce journalism. "Tech" companies just sit on the web as middlemen, lapping up user data and marketing their "business" to advertisers. "Tech" companies do not hire people to produce journalism.
This "but look, they are using ads themselves" argument is really getting old. It does not change the message. The journalist is not equal to the media company that employs her. It's like arguing that newspapers cannot write about the newspaper business because they are a newspaper.
If anything, we should be marvelling at how for the past 20 years newspapers routinely drove traffic to the web (away from print) by reporting on it ad nauseum, and how they now are reporting on privacy issues even though they themselves may benefit from using privacy-invasive "ad tech".