This is exactly why only the technologically savvy newspapers will move forward. The New York Times has taken leaps and bounds to be that forward news report that people will still subscribe to, even if it is online. Even the print version is the largest local newspaper in the United States. However they have moved from a "all the news thats fit to print" to a "all the news that's fit to click" motto in order to attract those who depend on their smartphones and computers. Even with this transfer, they have yet to lose any information. They are one of the only papers that have chosen to keep the eight column news instead of half-assing and switching to six columns to condense the reading. People will read more if it means that the information is prevalent to their lives. Instead of lessen their reports and losing potential clients that read those two thrown away columns, they still keep their broad range of audiences while keeping the news concise and straight forward.
The New York Times is one of the hardest newspapers to become a writer at, only selecting the cream of the crop writers to commit to their columns. With a reputation like that, and having most everyone know that fact, people are more drawn to read their news because of the guarantee of a well written piece even if they are uninterested in the content. There still are people in the world that enjoy works that are well written even if the content is lacking. Poorly written articles with extreme content are essentially worthless because no one wants to hear a cool story told by a third grader. That same story coming from someone with a Master's degree is more likely to sink in and believed than if you chatted up a homeless person on the side of the road.
The Times will survive. Their movement to apps and online subscriptions will keep them in the game as long as the news keeps rolling, which it always will. Don't be that idiot that listens to what a third grader tells you and takes it to heart. Know what you are reading, and who it is coming from. With the New York Times, there is no disappointment.