It seems like you're arguing about different things. donohoe took issue with you saying the NYT isn't relevant, and you are stating that people's unwillingness to pay equates with irrelevance.
I don't buy that. Many new media sites don't even have reporters in the field - just lots of writers in a room that rewrite what these "legacy" orgs do. So if they disappeared people absolutely would notice, the connection just isn't apparent yet.
News costs money. And a functioning media is important to society. That people are not currently willing to pay for it doesn't mean that it's irrelevant, just that the correct business model has not yet been found.