Let's back up a second. Why are newspapers being disrupted by the internet so severely? Well, for a while newspapers (and later local tv affiliates) were the only mass communication channels available. That put them in a unique position to serve as gatekeeper of news and information for a community, which allowed them to make money off of being a broadcast medium as well as their own original content. So newspapers were able to make money off of classified ads, rebroadcasted wire reports, comics, etc. This situation allowed newspapers to bloat up into huge organizations and make a lot of money off of little effort. The original investigative journalism within a newspaper made up a shockingly small percentage of their total efforts. The internet has made the broadcast functions of newspapers utterly obsolete, making the only economically useful function of newspapers their original reporting, which they do very poorly and also very rarely. Newspapers have a self-identification as this whole broadcast / gatekeeper enterprise, they have been having a hard time imagining they could be anything else (such as an organization that
doesn't print classified ads, wire reports, or marmaduke comics).
If I knew what the newspaper of 2020 was going to look like I'd be building a business around that (and I may do so regardless). I know for damned sure that the newspaper of 2020 won't be dominated by material that is unnecessarily rebroadcast, and unfortunately that includes a lot of what's in the NYT today.
As for HuffPo, that's not a source of news, nor is it the future of journalism (it may not even outlast the NYT). As to "paying for a high-quality product" I dispute the notion that the NYT is anything of the sort. It's as much a rag as HuffPo, it's just a lot better at maintaining "production value".
Personally I think the future of journalism will be in smaller, more focused groups who are subject matter experts first and journalists not by training per se but by practice.